Home / 1,678.13-2,517.12-508.08

Finding the Fourth Proportional to 1,678.13, 2,517.12 and 508.08

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Solution

The fourth proportional to 1,678.13, 2,517.12 and 508.08 is: 762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.13 : 2,517.12 = 508.08 : x
  2. Step 2: Convert to fraction form
    1,678.13/2,517.12 = 508.08/x
  3. Step 3: Cross multiply
    1,678.13x = 2,517.12 × 508.08
  4. Step 4: Simplify right side
    1,678.13x = 1,278,898.33
  5. Step 5: Solve for x
    x = 1,278,898.33/1,678.13
  6. Step 6: Final answer
    x = 762.10

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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.