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Finding the Fourth Proportional to 753.50, 1,039.95 and 546.86

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Solution

The fourth proportional to 753.50, 1,039.95 and 546.86 is: 754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.50 : 1,039.95 = 546.86 : x
  2. Step 2: Convert to fraction form
    753.50/1,039.95 = 546.86/x
  3. Step 3: Cross multiply
    753.50x = 1,039.95 × 546.86
  4. Step 4: Simplify right side
    753.50x = 568,707.06
  5. Step 5: Solve for x
    x = 568,707.06/753.50
  6. Step 6: Final answer
    x = 754.75

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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.