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Finding the Fourth Proportional to 424.92, 632.55 and 405.04

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Solution

The fourth proportional to 424.92, 632.55 and 405.04 is: 602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.92 : 632.55 = 405.04 : x
  2. Step 2: Convert to fraction form
    424.92/632.55 = 405.04/x
  3. Step 3: Cross multiply
    424.92x = 632.55 × 405.04
  4. Step 4: Simplify right side
    424.92x = 256,208.05
  5. Step 5: Solve for x
    x = 256,208.05/424.92
  6. Step 6: Final answer
    x = 602.96

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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.