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Finding the Fourth Proportional to 1,488.39, 2,232.71 and 610.68

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Solution

The fourth proportional to 1,488.39, 2,232.71 and 610.68 is: 916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.39 : 2,232.71 = 610.68 : x
  2. Step 2: Convert to fraction form
    1,488.39/2,232.71 = 610.68/x
  3. Step 3: Cross multiply
    1,488.39x = 2,232.71 × 610.68
  4. Step 4: Simplify right side
    1,488.39x = 1,363,468.29
  5. Step 5: Solve for x
    x = 1,363,468.29/1,488.39
  6. Step 6: Final answer
    x = 916.07

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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.