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Finding the Fourth Proportional to 1,037.96, 1,432.67 and 644.75

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Solution

The fourth proportional to 1,037.96, 1,432.67 and 644.75 is: 889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.96 : 1,432.67 = 644.75 : x
  2. Step 2: Convert to fraction form
    1,037.96/1,432.67 = 644.75/x
  3. Step 3: Cross multiply
    1,037.96x = 1,432.67 × 644.75
  4. Step 4: Simplify right side
    1,037.96x = 923,713.98
  5. Step 5: Solve for x
    x = 923,713.98/1,037.96
  6. Step 6: Final answer
    x = 889.93

Related Problems

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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.