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Finding the Fourth Proportional to 702.78, 974.70 and 694.56

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Solution

The fourth proportional to 702.78, 974.70 and 694.56 is: 963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 974.70 = 694.56 : x
  2. Step 2: Convert to fraction form
    702.78/974.70 = 694.56/x
  3. Step 3: Cross multiply
    702.78x = 974.70 × 694.56
  4. Step 4: Simplify right side
    702.78x = 676,987.63
  5. Step 5: Solve for x
    x = 676,987.63/702.78
  6. Step 6: Final answer
    x = 963.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.