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Finding the Fourth Proportional to 582.76, 872.70 and 571.12

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Solution

The fourth proportional to 582.76, 872.70 and 571.12 is: 855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.76 : 872.70 = 571.12 : x
  2. Step 2: Convert to fraction form
    582.76/872.70 = 571.12/x
  3. Step 3: Cross multiply
    582.76x = 872.70 × 571.12
  4. Step 4: Simplify right side
    582.76x = 498,416.42
  5. Step 5: Solve for x
    x = 498,416.42/582.76
  6. Step 6: Final answer
    x = 855.27

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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.