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Finding the Fourth Proportional to 678.14, 934.98 and 553.70

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Solution

The fourth proportional to 678.14, 934.98 and 553.70 is: 763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.14 : 934.98 = 553.70 : x
  2. Step 2: Convert to fraction form
    678.14/934.98 = 553.70/x
  3. Step 3: Cross multiply
    678.14x = 934.98 × 553.70
  4. Step 4: Simplify right side
    678.14x = 517,698.43
  5. Step 5: Solve for x
    x = 517,698.43/678.14
  6. Step 6: Final answer
    x = 763.41

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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.