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Finding the Fourth Proportional to 680, 935.04 and 647.60

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Solution

The fourth proportional to 680, 935.04 and 647.60 is: 890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 935.04 = 647.60 : x
  2. Step 2: Convert to fraction form
    680/935.04 = 647.60/x
  3. Step 3: Cross multiply
    680x = 935.04 × 647.60
  4. Step 4: Simplify right side
    680x = 605,531.90
  5. Step 5: Solve for x
    x = 605,531.90/680
  6. Step 6: Final answer
    x = 890.49

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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.