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Finding the Fourth Proportional to 678.96, 938.04 and 568.08

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Solution

The fourth proportional to 678.96, 938.04 and 568.08 is: 784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.96 : 938.04 = 568.08 : x
  2. Step 2: Convert to fraction form
    678.96/938.04 = 568.08/x
  3. Step 3: Cross multiply
    678.96x = 938.04 × 568.08
  4. Step 4: Simplify right side
    678.96x = 532,881.76
  5. Step 5: Solve for x
    x = 532,881.76/678.96
  6. Step 6: Final answer
    x = 784.85

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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.