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Finding the Fourth Proportional to 1,377.10, 1,900.39 and 747.64

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Solution

The fourth proportional to 1,377.10, 1,900.39 and 747.64 is: 1,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.10 : 1,900.39 = 747.64 : x
  2. Step 2: Convert to fraction form
    1,377.10/1,900.39 = 747.64/x
  3. Step 3: Cross multiply
    1,377.10x = 1,900.39 × 747.64
  4. Step 4: Simplify right side
    1,377.10x = 1,420,807.58
  5. Step 5: Solve for x
    x = 1,420,807.58/1,377.10
  6. Step 6: Final answer
    x = 1,031.74

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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.