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Finding the Fourth Proportional to 1,381.59, 2,071.77 and 732.17

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Solution

The fourth proportional to 1,381.59, 2,071.77 and 732.17 is: 1,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.59 : 2,071.77 = 732.17 : x
  2. Step 2: Convert to fraction form
    1,381.59/2,071.77 = 732.17/x
  3. Step 3: Cross multiply
    1,381.59x = 2,071.77 × 732.17
  4. Step 4: Simplify right side
    1,381.59x = 1,516,887.84
  5. Step 5: Solve for x
    x = 1,516,887.84/1,381.59
  6. Step 6: Final answer
    x = 1,097.93

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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.