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Finding the Fourth Proportional to 475.74, 710.19 and 414.22

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Solution

The fourth proportional to 475.74, 710.19 and 414.22 is: 618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.74 : 710.19 = 414.22 : x
  2. Step 2: Convert to fraction form
    475.74/710.19 = 414.22/x
  3. Step 3: Cross multiply
    475.74x = 710.19 × 414.22
  4. Step 4: Simplify right side
    475.74x = 294,174.90
  5. Step 5: Solve for x
    x = 294,174.90/475.74
  6. Step 6: Final answer
    x = 618.35

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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.