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Finding the Fourth Proportional to 645.74, 891.25 and 424.71

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Solution

The fourth proportional to 645.74, 891.25 and 424.71 is: 586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.74 : 891.25 = 424.71 : x
  2. Step 2: Convert to fraction form
    645.74/891.25 = 424.71/x
  3. Step 3: Cross multiply
    645.74x = 891.25 × 424.71
  4. Step 4: Simplify right side
    645.74x = 378,518.33
  5. Step 5: Solve for x
    x = 378,518.33/645.74
  6. Step 6: Final answer
    x = 586.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.