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Finding the Fourth Proportional to 577.29, 869.61 and 562.71

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Solution

The fourth proportional to 577.29, 869.61 and 562.71 is: 847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.29 : 869.61 = 562.71 : x
  2. Step 2: Convert to fraction form
    577.29/869.61 = 562.71/x
  3. Step 3: Cross multiply
    577.29x = 869.61 × 562.71
  4. Step 4: Simplify right side
    577.29x = 489,338.24
  5. Step 5: Solve for x
    x = 489,338.24/577.29
  6. Step 6: Final answer
    x = 847.65

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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.