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Finding the Fourth Proportional to 678.96, 934.90 and 616.39

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Solution

The fourth proportional to 678.96, 934.90 and 616.39 is: 848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.96 : 934.90 = 616.39 : x
  2. Step 2: Convert to fraction form
    678.96/934.90 = 616.39/x
  3. Step 3: Cross multiply
    678.96x = 934.90 × 616.39
  4. Step 4: Simplify right side
    678.96x = 576,263.01
  5. Step 5: Solve for x
    x = 576,263.01/678.96
  6. Step 6: Final answer
    x = 848.74

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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.