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Finding the Fourth Proportional to 983.59, 1,468.46 and 751.24

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Solution

The fourth proportional to 983.59, 1,468.46 and 751.24 is: 1,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.59 : 1,468.46 = 751.24 : x
  2. Step 2: Convert to fraction form
    983.59/1,468.46 = 751.24/x
  3. Step 3: Cross multiply
    983.59x = 1,468.46 × 751.24
  4. Step 4: Simplify right side
    983.59x = 1,103,165.89
  5. Step 5: Solve for x
    x = 1,103,165.89/983.59
  6. Step 6: Final answer
    x = 1,121.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.