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Finding the Fourth Proportional to 702.18, 968.40 and 453.42

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Solution

The fourth proportional to 702.18, 968.40 and 453.42 is: 625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.18 : 968.40 = 453.42 : x
  2. Step 2: Convert to fraction form
    702.18/968.40 = 453.42/x
  3. Step 3: Cross multiply
    702.18x = 968.40 × 453.42
  4. Step 4: Simplify right side
    702.18x = 439,091.93
  5. Step 5: Solve for x
    x = 439,091.93/702.18
  6. Step 6: Final answer
    x = 625.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.