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Finding the Fourth Proportional to 837.24, 1,156.07 and 543.00

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Solution

The fourth proportional to 837.24, 1,156.07 and 543.00 is: 749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.24 : 1,156.07 = 543.00 : x
  2. Step 2: Convert to fraction form
    837.24/1,156.07 = 543.00/x
  3. Step 3: Cross multiply
    837.24x = 1,156.07 × 543.00
  4. Step 4: Simplify right side
    837.24x = 627,751.70
  5. Step 5: Solve for x
    x = 627,751.70/837.24
  6. Step 6: Final answer
    x = 749.79

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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.