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Finding the Fourth Proportional to 702.08, 968.96 and 426.24

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Solution

The fourth proportional to 702.08, 968.96 and 426.24 is: 588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.08 : 968.96 = 426.24 : x
  2. Step 2: Convert to fraction form
    702.08/968.96 = 426.24/x
  3. Step 3: Cross multiply
    702.08x = 968.96 × 426.24
  4. Step 4: Simplify right side
    702.08x = 413,009.51
  5. Step 5: Solve for x
    x = 413,009.51/702.08
  6. Step 6: Final answer
    x = 588.27

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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.