Home / 1,020.20-1,407.79-578.17

Finding the Fourth Proportional to 1,020.20, 1,407.79 and 578.17

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Solution

The fourth proportional to 1,020.20, 1,407.79 and 578.17 is: 797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.20 : 1,407.79 = 578.17 : x
  2. Step 2: Convert to fraction form
    1,020.20/1,407.79 = 578.17/x
  3. Step 3: Cross multiply
    1,020.20x = 1,407.79 × 578.17
  4. Step 4: Simplify right side
    1,020.20x = 813,939.87
  5. Step 5: Solve for x
    x = 813,939.87/1,020.20
  6. Step 6: Final answer
    x = 797.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.