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Finding the Fourth Proportional to 478.32, 711.75 and 476.70

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Solution

The fourth proportional to 478.32, 711.75 and 476.70 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.32 : 711.75 = 476.70 : x
  2. Step 2: Convert to fraction form
    478.32/711.75 = 476.70/x
  3. Step 3: Cross multiply
    478.32x = 711.75 × 476.70
  4. Step 4: Simplify right side
    478.32x = 339,291.23
  5. Step 5: Solve for x
    x = 339,291.23/478.32
  6. Step 6: Final answer
    x = 709.34

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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.