Home / 1,433.13-2,149.67-508.17

Finding the Fourth Proportional to 1,433.13, 2,149.67 and 508.17

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Solution

The fourth proportional to 1,433.13, 2,149.67 and 508.17 is: 762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.13 : 2,149.67 = 508.17 : x
  2. Step 2: Convert to fraction form
    1,433.13/2,149.67 = 508.17/x
  3. Step 3: Cross multiply
    1,433.13x = 2,149.67 × 508.17
  4. Step 4: Simplify right side
    1,433.13x = 1,092,407.14
  5. Step 5: Solve for x
    x = 1,092,407.14/1,433.13
  6. Step 6: Final answer
    x = 762.25

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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.