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Finding the Fourth Proportional to 702.55, 1,049.72 and 678.34

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Solution

The fourth proportional to 702.55, 1,049.72 and 678.34 is: 1,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.55 : 1,049.72 = 678.34 : x
  2. Step 2: Convert to fraction form
    702.55/1,049.72 = 678.34/x
  3. Step 3: Cross multiply
    702.55x = 1,049.72 × 678.34
  4. Step 4: Simplify right side
    702.55x = 712,067.06
  5. Step 5: Solve for x
    x = 712,067.06/702.55
  6. Step 6: Final answer
    x = 1,013.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.