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Finding the Fourth Proportional to 989.57, 1,363.04 and 690.27

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Solution

The fourth proportional to 989.57, 1,363.04 and 690.27 is: 950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.57 : 1,363.04 = 690.27 : x
  2. Step 2: Convert to fraction form
    989.57/1,363.04 = 690.27/x
  3. Step 3: Cross multiply
    989.57x = 1,363.04 × 690.27
  4. Step 4: Simplify right side
    989.57x = 940,862.17
  5. Step 5: Solve for x
    x = 940,862.17/989.57
  6. Step 6: Final answer
    x = 950.78

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1.5x scale

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.