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Finding the Fourth Proportional to 580.93, 870.17 and 424.65

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Solution

The fourth proportional to 580.93, 870.17 and 424.65 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.93 : 870.17 = 424.65 : x
  2. Step 2: Convert to fraction form
    580.93/870.17 = 424.65/x
  3. Step 3: Cross multiply
    580.93x = 870.17 × 424.65
  4. Step 4: Simplify right side
    580.93x = 369,517.69
  5. Step 5: Solve for x
    x = 369,517.69/580.93
  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.