Home / 1,056.92-1,584.66-508.82

Finding the Fourth Proportional to 1,056.92, 1,584.66 and 508.82

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Solution

The fourth proportional to 1,056.92, 1,584.66 and 508.82 is: 762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.92 : 1,584.66 = 508.82 : x
  2. Step 2: Convert to fraction form
    1,056.92/1,584.66 = 508.82/x
  3. Step 3: Cross multiply
    1,056.92x = 1,584.66 × 508.82
  4. Step 4: Simplify right side
    1,056.92x = 806,306.70
  5. Step 5: Solve for x
    x = 806,306.70/1,056.92
  6. Step 6: Final answer
    x = 762.88

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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.