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Finding the Fourth Proportional to 702.13, 968.82 and 453.78

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Solution

The fourth proportional to 702.13, 968.82 and 453.78 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.13 : 968.82 = 453.78 : x
  2. Step 2: Convert to fraction form
    702.13/968.82 = 453.78/x
  3. Step 3: Cross multiply
    702.13x = 968.82 × 453.78
  4. Step 4: Simplify right side
    702.13x = 439,631.14
  5. Step 5: Solve for x
    x = 439,631.14/702.13
  6. Step 6: Final answer
    x = 626.14

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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.