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Finding the Fourth Proportional to 477.56, 712.65 and 473.96

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Solution

The fourth proportional to 477.56, 712.65 and 473.96 is: 707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.56 : 712.65 = 473.96 : x
  2. Step 2: Convert to fraction form
    477.56/712.65 = 473.96/x
  3. Step 3: Cross multiply
    477.56x = 712.65 × 473.96
  4. Step 4: Simplify right side
    477.56x = 337,767.59
  5. Step 5: Solve for x
    x = 337,767.59/477.56
  6. Step 6: Final answer
    x = 707.28

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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.