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Finding the Fourth Proportional to 580.07, 868.53 and 424.82

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Solution

The fourth proportional to 580.07, 868.53 and 424.82 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.07 : 868.53 = 424.82 : x
  2. Step 2: Convert to fraction form
    580.07/868.53 = 424.82/x
  3. Step 3: Cross multiply
    580.07x = 868.53 × 424.82
  4. Step 4: Simplify right side
    580.07x = 368,966.74
  5. Step 5: Solve for x
    x = 368,966.74/580.07
  6. Step 6: Final answer
    x = 636.08

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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.