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Finding the Fourth Proportional to 1,326.33, 1,988.42 and 460.17

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Solution

The fourth proportional to 1,326.33, 1,988.42 and 460.17 is: 689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.33 : 1,988.42 = 460.17 : x
  2. Step 2: Convert to fraction form
    1,326.33/1,988.42 = 460.17/x
  3. Step 3: Cross multiply
    1,326.33x = 1,988.42 × 460.17
  4. Step 4: Simplify right side
    1,326.33x = 915,008.93
  5. Step 5: Solve for x
    x = 915,008.93/1,326.33
  6. Step 6: Final answer
    x = 689.88

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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.