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Finding the Fourth Proportional to 1,127.64, 1,691.49 and 397.05

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Solution

The fourth proportional to 1,127.64, 1,691.49 and 397.05 is: 595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.64 : 1,691.49 = 397.05 : x
  2. Step 2: Convert to fraction form
    1,127.64/1,691.49 = 397.05/x
  3. Step 3: Cross multiply
    1,127.64x = 1,691.49 × 397.05
  4. Step 4: Simplify right side
    1,127.64x = 671,606.10
  5. Step 5: Solve for x
    x = 671,606.10/1,127.64
  6. Step 6: Final answer
    x = 595.59

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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.