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Finding the Fourth Proportional to 424.39, 632.24 and 405.42

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Solution

The fourth proportional to 424.39, 632.24 and 405.42 is: 603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.39 : 632.24 = 405.42 : x
  2. Step 2: Convert to fraction form
    424.39/632.24 = 405.42/x
  3. Step 3: Cross multiply
    424.39x = 632.24 × 405.42
  4. Step 4: Simplify right side
    424.39x = 256,322.74
  5. Step 5: Solve for x
    x = 256,322.74/424.39
  6. Step 6: Final answer
    x = 603.98

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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.