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Finding the Fourth Proportional to 407.26, 560.85 and 387.82

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Solution

The fourth proportional to 407.26, 560.85 and 387.82 is: 534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.26 : 560.85 = 387.82 : x
  2. Step 2: Convert to fraction form
    407.26/560.85 = 387.82/x
  3. Step 3: Cross multiply
    407.26x = 560.85 × 387.82
  4. Step 4: Simplify right side
    407.26x = 217,508.85
  5. Step 5: Solve for x
    x = 217,508.85/407.26
  6. Step 6: Final answer
    x = 534.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.