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Finding the Fourth Proportional to 1,234.84, 1,702.05 and 876.05

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Solution

The fourth proportional to 1,234.84, 1,702.05 and 876.05 is: 1,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.84 : 1,702.05 = 876.05 : x
  2. Step 2: Convert to fraction form
    1,234.84/1,702.05 = 876.05/x
  3. Step 3: Cross multiply
    1,234.84x = 1,702.05 × 876.05
  4. Step 4: Simplify right side
    1,234.84x = 1,491,080.90
  5. Step 5: Solve for x
    x = 1,491,080.90/1,234.84
  6. Step 6: Final answer
    x = 1,207.51

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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.