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Finding the Fourth Proportional to 994.27, 1,490.19 and 560.11

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Solution

The fourth proportional to 994.27, 1,490.19 and 560.11 is: 839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.27 : 1,490.19 = 560.11 : x
  2. Step 2: Convert to fraction form
    994.27/1,490.19 = 560.11/x
  3. Step 3: Cross multiply
    994.27x = 1,490.19 × 560.11
  4. Step 4: Simplify right side
    994.27x = 834,670.32
  5. Step 5: Solve for x
    x = 834,670.32/994.27
  6. Step 6: Final answer
    x = 839.48

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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.