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Finding the Fourth Proportional to 752.96, 1,123.02 and 638.16

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Solution

The fourth proportional to 752.96, 1,123.02 and 638.16 is: 951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.96 : 1,123.02 = 638.16 : x
  2. Step 2: Convert to fraction form
    752.96/1,123.02 = 638.16/x
  3. Step 3: Cross multiply
    752.96x = 1,123.02 × 638.16
  4. Step 4: Simplify right side
    752.96x = 716,666.44
  5. Step 5: Solve for x
    x = 716,666.44/752.96
  6. Step 6: Final answer
    x = 951.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.