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Finding the Fourth Proportional to 994.65, 1,492.47 and 752.66

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Solution

The fourth proportional to 994.65, 1,492.47 and 752.66 is: 1,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.65 : 1,492.47 = 752.66 : x
  2. Step 2: Convert to fraction form
    994.65/1,492.47 = 752.66/x
  3. Step 3: Cross multiply
    994.65x = 1,492.47 × 752.66
  4. Step 4: Simplify right side
    994.65x = 1,123,322.47
  5. Step 5: Solve for x
    x = 1,123,322.47/994.65
  6. Step 6: Final answer
    x = 1,129.36

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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.