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Finding the Fourth Proportional to 702.16, 968.86 and 407.40

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Solution

The fourth proportional to 702.16, 968.86 and 407.40 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.16 : 968.86 = 407.40 : x
  2. Step 2: Convert to fraction form
    702.16/968.86 = 407.40/x
  3. Step 3: Cross multiply
    702.16x = 968.86 × 407.40
  4. Step 4: Simplify right side
    702.16x = 394,713.56
  5. Step 5: Solve for x
    x = 394,713.56/702.16
  6. Step 6: Final answer
    x = 562.14

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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.