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Finding the Fourth Proportional to 478.20, 711.57 and 476.58

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Solution

The fourth proportional to 478.20, 711.57 and 476.58 is: 709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.20 : 711.57 = 476.58 : x
  2. Step 2: Convert to fraction form
    478.20/711.57 = 476.58/x
  3. Step 3: Cross multiply
    478.20x = 711.57 × 476.58
  4. Step 4: Simplify right side
    478.20x = 339,120.03
  5. Step 5: Solve for x
    x = 339,120.03/478.20
  6. Step 6: Final answer
    x = 709.16

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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.