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Finding the Fourth Proportional to 869.86, 1,304.18 and 577.45

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Solution

The fourth proportional to 869.86, 1,304.18 and 577.45 is: 865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.86 : 1,304.18 = 577.45 : x
  2. Step 2: Convert to fraction form
    869.86/1,304.18 = 577.45/x
  3. Step 3: Cross multiply
    869.86x = 1,304.18 × 577.45
  4. Step 4: Simplify right side
    869.86x = 753,098.74
  5. Step 5: Solve for x
    x = 753,098.74/869.86
  6. Step 6: Final answer
    x = 865.77

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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.