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Finding the Fourth Proportional to 1,020.18, 1,407.81 and 578.17

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Solution

The fourth proportional to 1,020.18, 1,407.81 and 578.17 is: 797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.18 : 1,407.81 = 578.17 : x
  2. Step 2: Convert to fraction form
    1,020.18/1,407.81 = 578.17/x
  3. Step 3: Cross multiply
    1,020.18x = 1,407.81 × 578.17
  4. Step 4: Simplify right side
    1,020.18x = 813,952.56
  5. Step 5: Solve for x
    x = 813,952.56/1,020.18
  6. Step 6: Final answer
    x = 797.85

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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.