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Finding the Fourth Proportional to 1,037.92, 1,431.71 and 664.76

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Solution

The fourth proportional to 1,037.92, 1,431.71 and 664.76 is: 916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.92 : 1,431.71 = 664.76 : x
  2. Step 2: Convert to fraction form
    1,037.92/1,431.71 = 664.76/x
  3. Step 3: Cross multiply
    1,037.92x = 1,431.71 × 664.76
  4. Step 4: Simplify right side
    1,037.92x = 951,743.54
  5. Step 5: Solve for x
    x = 951,743.54/1,037.92
  6. Step 6: Final answer
    x = 916.97

Related Problems

Find fourth proportional to 518.96, 715.86 and 332.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.