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Finding the Fourth Proportional to 424.74, 587.52 and 397.29

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Solution

The fourth proportional to 424.74, 587.52 and 397.29 is: 549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.74 : 587.52 = 397.29 : x
  2. Step 2: Convert to fraction form
    424.74/587.52 = 397.29/x
  3. Step 3: Cross multiply
    424.74x = 587.52 × 397.29
  4. Step 4: Simplify right side
    424.74x = 233,415.82
  5. Step 5: Solve for x
    x = 233,415.82/424.74
  6. Step 6: Final answer
    x = 549.55

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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.