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Finding the Fourth Proportional to 580.47, 869.15 and 442.86

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Solution

The fourth proportional to 580.47, 869.15 and 442.86 is: 663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.47 : 869.15 = 442.86 : x
  2. Step 2: Convert to fraction form
    580.47/869.15 = 442.86/x
  3. Step 3: Cross multiply
    580.47x = 869.15 × 442.86
  4. Step 4: Simplify right side
    580.47x = 384,909.55
  5. Step 5: Solve for x
    x = 384,909.55/580.47
  6. Step 6: Final answer
    x = 663.10

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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.