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Finding the Fourth Proportional to 1,129.61, 1,701.18 and 994.13

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Solution

The fourth proportional to 1,129.61, 1,701.18 and 994.13 is: 1,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.61 : 1,701.18 = 994.13 : x
  2. Step 2: Convert to fraction form
    1,129.61/1,701.18 = 994.13/x
  3. Step 3: Cross multiply
    1,129.61x = 1,701.18 × 994.13
  4. Step 4: Simplify right side
    1,129.61x = 1,691,202.05
  5. Step 5: Solve for x
    x = 1,691,202.05/1,129.61
  6. Step 6: Final answer
    x = 1,497.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.