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Finding the Fourth Proportional to 702.31, 968.95 and 407.47

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Solution

The fourth proportional to 702.31, 968.95 and 407.47 is: 562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.31 : 968.95 = 407.47 : x
  2. Step 2: Convert to fraction form
    702.31/968.95 = 407.47/x
  3. Step 3: Cross multiply
    702.31x = 968.95 × 407.47
  4. Step 4: Simplify right side
    702.31x = 394,818.06
  5. Step 5: Solve for x
    x = 394,818.06/702.31
  6. Step 6: Final answer
    x = 562.17

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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.