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Finding the Fourth Proportional to 837.93, 1,156.14 and 543.15

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Solution

The fourth proportional to 837.93, 1,156.14 and 543.15 is: 749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.93 : 1,156.14 = 543.15 : x
  2. Step 2: Convert to fraction form
    837.93/1,156.14 = 543.15/x
  3. Step 3: Cross multiply
    837.93x = 1,156.14 × 543.15
  4. Step 4: Simplify right side
    837.93x = 627,957.44
  5. Step 5: Solve for x
    x = 627,957.44/837.93
  6. Step 6: Final answer
    x = 749.42

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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.