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Finding the Fourth Proportional to 1,010.68, 1,395.49 and 994.53

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Solution

The fourth proportional to 1,010.68, 1,395.49 and 994.53 is: 1,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.68 : 1,395.49 = 994.53 : x
  2. Step 2: Convert to fraction form
    1,010.68/1,395.49 = 994.53/x
  3. Step 3: Cross multiply
    1,010.68x = 1,395.49 × 994.53
  4. Step 4: Simplify right side
    1,010.68x = 1,387,860.18
  5. Step 5: Solve for x
    x = 1,387,860.18/1,010.68
  6. Step 6: Final answer
    x = 1,373.20

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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.