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Finding the Fourth Proportional to 678.20, 1,016.48 and 370.13

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Solution

The fourth proportional to 678.20, 1,016.48 and 370.13 is: 554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.20 : 1,016.48 = 370.13 : x
  2. Step 2: Convert to fraction form
    678.20/1,016.48 = 370.13/x
  3. Step 3: Cross multiply
    678.20x = 1,016.48 × 370.13
  4. Step 4: Simplify right side
    678.20x = 376,225.59
  5. Step 5: Solve for x
    x = 376,225.59/678.20
  6. Step 6: Final answer
    x = 554.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.