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Finding the Fourth Proportional to 477.04, 709.12 and 463.02

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Solution

The fourth proportional to 477.04, 709.12 and 463.02 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 709.12 = 463.02 : x
  2. Step 2: Convert to fraction form
    477.04/709.12 = 463.02/x
  3. Step 3: Cross multiply
    477.04x = 709.12 × 463.02
  4. Step 4: Simplify right side
    477.04x = 328,337.63
  5. Step 5: Solve for x
    x = 328,337.63/477.04
  6. Step 6: Final answer
    x = 688.29

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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.