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Finding the Fourth Proportional to 1,150.92, 1,588.05 and 653.45

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Solution

The fourth proportional to 1,150.92, 1,588.05 and 653.45 is: 901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.92 : 1,588.05 = 653.45 : x
  2. Step 2: Convert to fraction form
    1,150.92/1,588.05 = 653.45/x
  3. Step 3: Cross multiply
    1,150.92x = 1,588.05 × 653.45
  4. Step 4: Simplify right side
    1,150.92x = 1,037,703.33
  5. Step 5: Solve for x
    x = 1,037,703.33/1,150.92
  6. Step 6: Final answer
    x = 901.63

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Half scale
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Double scale
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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.