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Finding the Fourth Proportional to 989.14, 1,364.67 and 615.82

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Solution

The fourth proportional to 989.14, 1,364.67 and 615.82 is: 849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.14 : 1,364.67 = 615.82 : x
  2. Step 2: Convert to fraction form
    989.14/1,364.67 = 615.82/x
  3. Step 3: Cross multiply
    989.14x = 1,364.67 × 615.82
  4. Step 4: Simplify right side
    989.14x = 840,386.20
  5. Step 5: Solve for x
    x = 840,386.20/989.14
  6. Step 6: Final answer
    x = 849.61

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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.