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Finding the Fourth Proportional to 584.24, 871.92 and 570.42

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Solution

The fourth proportional to 584.24, 871.92 and 570.42 is: 851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.24 : 871.92 = 570.42 : x
  2. Step 2: Convert to fraction form
    584.24/871.92 = 570.42/x
  3. Step 3: Cross multiply
    584.24x = 871.92 × 570.42
  4. Step 4: Simplify right side
    584.24x = 497,360.61
  5. Step 5: Solve for x
    x = 497,360.61/584.24
  6. Step 6: Final answer
    x = 851.30

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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.