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Finding the Fourth Proportional to 475.26, 710.90 and 400.15

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Solution

The fourth proportional to 475.26, 710.90 and 400.15 is: 598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.26 : 710.90 = 400.15 : x
  2. Step 2: Convert to fraction form
    475.26/710.90 = 400.15/x
  3. Step 3: Cross multiply
    475.26x = 710.90 × 400.15
  4. Step 4: Simplify right side
    475.26x = 284,466.64
  5. Step 5: Solve for x
    x = 284,466.64/475.26
  6. Step 6: Final answer
    x = 598.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.