Home / 1,678.17-2,517.60-508.24

Finding the Fourth Proportional to 1,678.17, 2,517.60 and 508.24

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Solution

The fourth proportional to 1,678.17, 2,517.60 and 508.24 is: 762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.17 : 2,517.60 = 508.24 : x
  2. Step 2: Convert to fraction form
    1,678.17/2,517.60 = 508.24/x
  3. Step 3: Cross multiply
    1,678.17x = 2,517.60 × 508.24
  4. Step 4: Simplify right side
    1,678.17x = 1,279,532.44
  5. Step 5: Solve for x
    x = 1,279,532.44/1,678.17
  6. Step 6: Final answer
    x = 762.46

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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.