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Finding the Fourth Proportional to 678.68, 934.98 and 559.88

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Solution

The fourth proportional to 678.68, 934.98 and 559.88 is: 771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.68 : 934.98 = 559.88 : x
  2. Step 2: Convert to fraction form
    678.68/934.98 = 559.88/x
  3. Step 3: Cross multiply
    678.68x = 934.98 × 559.88
  4. Step 4: Simplify right side
    678.68x = 523,476.60
  5. Step 5: Solve for x
    x = 523,476.60/678.68
  6. Step 6: Final answer
    x = 771.32

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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.