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Finding the Fourth Proportional to 476.56, 711.16 and 472.96

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Solution

The fourth proportional to 476.56, 711.16 and 472.96 is: 705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.56 : 711.16 = 472.96 : x
  2. Step 2: Convert to fraction form
    476.56/711.16 = 472.96/x
  3. Step 3: Cross multiply
    476.56x = 711.16 × 472.96
  4. Step 4: Simplify right side
    476.56x = 336,350.23
  5. Step 5: Solve for x
    x = 336,350.23/476.56
  6. Step 6: Final answer
    x = 705.79

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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.