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Finding the Fourth Proportional to 580.31, 869.15 and 407.75

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Solution

The fourth proportional to 580.31, 869.15 and 407.75 is: 610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.31 : 869.15 = 407.75 : x
  2. Step 2: Convert to fraction form
    580.31/869.15 = 407.75/x
  3. Step 3: Cross multiply
    580.31x = 869.15 × 407.75
  4. Step 4: Simplify right side
    580.31x = 354,389.53
  5. Step 5: Solve for x
    x = 354,389.53/580.31
  6. Step 6: Final answer
    x = 610.70

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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.