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Finding the Fourth Proportional to 572.52, 857.54 and 520.88

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Solution

The fourth proportional to 572.52, 857.54 and 520.88 is: 780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 857.54 = 520.88 : x
  2. Step 2: Convert to fraction form
    572.52/857.54 = 520.88/x
  3. Step 3: Cross multiply
    572.52x = 857.54 × 520.88
  4. Step 4: Simplify right side
    572.52x = 446,675.44
  5. Step 5: Solve for x
    x = 446,675.44/572.52
  6. Step 6: Final answer
    x = 780.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.