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Finding the Fourth Proportional to 1,678.38, 2,517.56 and 652.38

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Solution

The fourth proportional to 1,678.38, 2,517.56 and 652.38 is: 978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.38 : 2,517.56 = 652.38 : x
  2. Step 2: Convert to fraction form
    1,678.38/2,517.56 = 652.38/x
  3. Step 3: Cross multiply
    1,678.38x = 2,517.56 × 652.38
  4. Step 4: Simplify right side
    1,678.38x = 1,642,405.79
  5. Step 5: Solve for x
    x = 1,642,405.79/1,678.38
  6. Step 6: Final answer
    x = 978.57

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Why These Related Problems?

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