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Finding the Fourth Proportional to 1,188.92, 1,641.08 and 747.20

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Solution

The fourth proportional to 1,188.92, 1,641.08 and 747.20 is: 1,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.92 : 1,641.08 = 747.20 : x
  2. Step 2: Convert to fraction form
    1,188.92/1,641.08 = 747.20/x
  3. Step 3: Cross multiply
    1,188.92x = 1,641.08 × 747.20
  4. Step 4: Simplify right side
    1,188.92x = 1,226,220.95
  5. Step 5: Solve for x
    x = 1,226,220.95/1,188.92
  6. Step 6: Final answer
    x = 1,031.37

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1.5x scale

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.