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Finding the Fourth Proportional to 478.28, 711.82 and 475.40

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Solution

The fourth proportional to 478.28, 711.82 and 475.40 is: 707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.28 : 711.82 = 475.40 : x
  2. Step 2: Convert to fraction form
    478.28/711.82 = 475.40/x
  3. Step 3: Cross multiply
    478.28x = 711.82 × 475.40
  4. Step 4: Simplify right side
    478.28x = 338,399.23
  5. Step 5: Solve for x
    x = 338,399.23/478.28
  6. Step 6: Final answer
    x = 707.53

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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.