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Finding the Fourth Proportional to 678.40, 934.80 and 553.60

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Solution

The fourth proportional to 678.40, 934.80 and 553.60 is: 762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.40 : 934.80 = 553.60 : x
  2. Step 2: Convert to fraction form
    678.40/934.80 = 553.60/x
  3. Step 3: Cross multiply
    678.40x = 934.80 × 553.60
  4. Step 4: Simplify right side
    678.40x = 517,505.28
  5. Step 5: Solve for x
    x = 517,505.28/678.40
  6. Step 6: Final answer
    x = 762.83

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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.