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Finding the Fourth Proportional to 424.28, 632.89 and 394.58

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Solution

The fourth proportional to 424.28, 632.89 and 394.58 is: 588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.28 : 632.89 = 394.58 : x
  2. Step 2: Convert to fraction form
    424.28/632.89 = 394.58/x
  3. Step 3: Cross multiply
    424.28x = 632.89 × 394.58
  4. Step 4: Simplify right side
    424.28x = 249,725.74
  5. Step 5: Solve for x
    x = 249,725.74/424.28
  6. Step 6: Final answer
    x = 588.59

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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.