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Finding the Fourth Proportional to 477.93, 663.99 and 472.17

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Solution

The fourth proportional to 477.93, 663.99 and 472.17 is: 655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.93 : 663.99 = 472.17 : x
  2. Step 2: Convert to fraction form
    477.93/663.99 = 472.17/x
  3. Step 3: Cross multiply
    477.93x = 663.99 × 472.17
  4. Step 4: Simplify right side
    477.93x = 313,516.16
  5. Step 5: Solve for x
    x = 313,516.16/477.93
  6. Step 6: Final answer
    x = 655.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.