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Finding the Fourth Proportional to 681.84, 1,017.62 and 616.23

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Solution

The fourth proportional to 681.84, 1,017.62 and 616.23 is: 919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.84 : 1,017.62 = 616.23 : x
  2. Step 2: Convert to fraction form
    681.84/1,017.62 = 616.23/x
  3. Step 3: Cross multiply
    681.84x = 1,017.62 × 616.23
  4. Step 4: Simplify right side
    681.84x = 627,084.89
  5. Step 5: Solve for x
    x = 627,084.89/681.84
  6. Step 6: Final answer
    x = 919.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.