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Finding the Fourth Proportional to 839.76, 1,257.50 and 702.46

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Solution

The fourth proportional to 839.76, 1,257.50 and 702.46 is: 1,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.76 : 1,257.50 = 702.46 : x
  2. Step 2: Convert to fraction form
    839.76/1,257.50 = 702.46/x
  3. Step 3: Cross multiply
    839.76x = 1,257.50 × 702.46
  4. Step 4: Simplify right side
    839.76x = 883,343.45
  5. Step 5: Solve for x
    x = 883,343.45/839.76
  6. Step 6: Final answer
    x = 1,051.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.