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Finding the Fourth Proportional to 1,397.52, 1,929 and 808.46

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Solution

The fourth proportional to 1,397.52, 1,929 and 808.46 is: 1,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.52 : 1,929 = 808.46 : x
  2. Step 2: Convert to fraction form
    1,397.52/1,929 = 808.46/x
  3. Step 3: Cross multiply
    1,397.52x = 1,929 × 808.46
  4. Step 4: Simplify right side
    1,397.52x = 1,559,519.34
  5. Step 5: Solve for x
    x = 1,559,519.34/1,397.52
  6. Step 6: Final answer
    x = 1,115.92

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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.