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Finding the Fourth Proportional to 572.40, 862.25 and 522.59

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Solution

The fourth proportional to 572.40, 862.25 and 522.59 is: 787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.40 : 862.25 = 522.59 : x
  2. Step 2: Convert to fraction form
    572.40/862.25 = 522.59/x
  3. Step 3: Cross multiply
    572.40x = 862.25 × 522.59
  4. Step 4: Simplify right side
    572.40x = 450,596.30
  5. Step 5: Solve for x
    x = 450,596.30/572.40
  6. Step 6: Final answer
    x = 787.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.