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Finding the Fourth Proportional to 1,081.38, 1,492.31 and 615.63

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Solution

The fourth proportional to 1,081.38, 1,492.31 and 615.63 is: 849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.38 : 1,492.31 = 615.63 : x
  2. Step 2: Convert to fraction form
    1,081.38/1,492.31 = 615.63/x
  3. Step 3: Cross multiply
    1,081.38x = 1,492.31 × 615.63
  4. Step 4: Simplify right side
    1,081.38x = 918,710.81
  5. Step 5: Solve for x
    x = 918,710.81/1,081.38
  6. Step 6: Final answer
    x = 849.57

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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.