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Finding the Fourth Proportional to 572.11, 787.48 and 424.49

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Solution

The fourth proportional to 572.11, 787.48 and 424.49 is: 584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.11 : 787.48 = 424.49 : x
  2. Step 2: Convert to fraction form
    572.11/787.48 = 424.49/x
  3. Step 3: Cross multiply
    572.11x = 787.48 × 424.49
  4. Step 4: Simplify right side
    572.11x = 334,277.39
  5. Step 5: Solve for x
    x = 334,277.39/572.11
  6. Step 6: Final answer
    x = 584.29

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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.