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Finding the Fourth Proportional to 1,377.16, 1,900.48 and 747.68

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Solution

The fourth proportional to 1,377.16, 1,900.48 and 747.68 is: 1,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.16 : 1,900.48 = 747.68 : x
  2. Step 2: Convert to fraction form
    1,377.16/1,900.48 = 747.68/x
  3. Step 3: Cross multiply
    1,377.16x = 1,900.48 × 747.68
  4. Step 4: Simplify right side
    1,377.16x = 1,420,951.90
  5. Step 5: Solve for x
    x = 1,420,951.90/1,377.16
  6. Step 6: Final answer
    x = 1,031.80

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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.