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Finding the Fourth Proportional to 424.56, 587.11 and 405.22

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Solution

The fourth proportional to 424.56, 587.11 and 405.22 is: 560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 587.11 = 405.22 : x
  2. Step 2: Convert to fraction form
    424.56/587.11 = 405.22/x
  3. Step 3: Cross multiply
    424.56x = 587.11 × 405.22
  4. Step 4: Simplify right side
    424.56x = 237,908.71
  5. Step 5: Solve for x
    x = 237,908.71/424.56
  6. Step 6: Final answer
    x = 560.37

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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.