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Finding the Fourth Proportional to 702.32, 968.81 and 407.55

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Solution

The fourth proportional to 702.32, 968.81 and 407.55 is: 562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.32 : 968.81 = 407.55 : x
  2. Step 2: Convert to fraction form
    702.32/968.81 = 407.55/x
  3. Step 3: Cross multiply
    702.32x = 968.81 × 407.55
  4. Step 4: Simplify right side
    702.32x = 394,836.48
  5. Step 5: Solve for x
    x = 394,836.48/702.32
  6. Step 6: Final answer
    x = 562.19

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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.