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Finding the Fourth Proportional to 1,488.69, 2,232.20 and 610.95

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Solution

The fourth proportional to 1,488.69, 2,232.20 and 610.95 is: 916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.69 : 2,232.20 = 610.95 : x
  2. Step 2: Convert to fraction form
    1,488.69/2,232.20 = 610.95/x
  3. Step 3: Cross multiply
    1,488.69x = 2,232.20 × 610.95
  4. Step 4: Simplify right side
    1,488.69x = 1,363,762.59
  5. Step 5: Solve for x
    x = 1,363,762.59/1,488.69
  6. Step 6: Final answer
    x = 916.08

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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.