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Finding the Fourth Proportional to 580.48, 869.76 and 515.32

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Solution

The fourth proportional to 580.48, 869.76 and 515.32 is: 772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.48 : 869.76 = 515.32 : x
  2. Step 2: Convert to fraction form
    580.48/869.76 = 515.32/x
  3. Step 3: Cross multiply
    580.48x = 869.76 × 515.32
  4. Step 4: Simplify right side
    580.48x = 448,204.72
  5. Step 5: Solve for x
    x = 448,204.72/580.48
  6. Step 6: Final answer
    x = 772.13

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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.