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Finding the Fourth Proportional to 580.47, 865.69 and 515.46

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Solution

The fourth proportional to 580.47, 865.69 and 515.46 is: 768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.47 : 865.69 = 515.46 : x
  2. Step 2: Convert to fraction form
    580.47/865.69 = 515.46/x
  3. Step 3: Cross multiply
    580.47x = 865.69 × 515.46
  4. Step 4: Simplify right side
    580.47x = 446,230.53
  5. Step 5: Solve for x
    x = 446,230.53/580.47
  6. Step 6: Final answer
    x = 768.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.