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Finding the Fourth Proportional to 737.92, 1,019.02 and 476.40

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Solution

The fourth proportional to 737.92, 1,019.02 and 476.40 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.92 : 1,019.02 = 476.40 : x
  2. Step 2: Convert to fraction form
    737.92/1,019.02 = 476.40/x
  3. Step 3: Cross multiply
    737.92x = 1,019.02 × 476.40
  4. Step 4: Simplify right side
    737.92x = 485,461.13
  5. Step 5: Solve for x
    x = 485,461.13/737.92
  6. Step 6: Final answer
    x = 657.88

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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.