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Finding the Fourth Proportional to 704.16, 968.76 and 616.68

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Solution

The fourth proportional to 704.16, 968.76 and 616.68 is: 848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.16 : 968.76 = 616.68 : x
  2. Step 2: Convert to fraction form
    704.16/968.76 = 616.68/x
  3. Step 3: Cross multiply
    704.16x = 968.76 × 616.68
  4. Step 4: Simplify right side
    704.16x = 597,414.92
  5. Step 5: Solve for x
    x = 597,414.92/704.16
  6. Step 6: Final answer
    x = 848.41

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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.