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Finding the Fourth Proportional to 702.31, 968.49 and 453.76

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Solution

The fourth proportional to 702.31, 968.49 and 453.76 is: 625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.31 : 968.49 = 453.76 : x
  2. Step 2: Convert to fraction form
    702.31/968.49 = 453.76/x
  3. Step 3: Cross multiply
    702.31x = 968.49 × 453.76
  4. Step 4: Simplify right side
    702.31x = 439,462.02
  5. Step 5: Solve for x
    x = 439,462.02/702.31
  6. Step 6: Final answer
    x = 625.74

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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.