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Finding the Fourth Proportional to 1,488.74, 2,232.32 and 747.59

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Solution

The fourth proportional to 1,488.74, 2,232.32 and 747.59 is: 1,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.74 : 2,232.32 = 747.59 : x
  2. Step 2: Convert to fraction form
    1,488.74/2,232.32 = 747.59/x
  3. Step 3: Cross multiply
    1,488.74x = 2,232.32 × 747.59
  4. Step 4: Simplify right side
    1,488.74x = 1,668,845.21
  5. Step 5: Solve for x
    x = 1,668,845.21/1,488.74
  6. Step 6: Final answer
    x = 1,120.98

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1.5x scale

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.