Home / 1,022.65-1,534.20-584.11

Finding the Fourth Proportional to 1,022.65, 1,534.20 and 584.11

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Solution

The fourth proportional to 1,022.65, 1,534.20 and 584.11 is: 876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.65 : 1,534.20 = 584.11 : x
  2. Step 2: Convert to fraction form
    1,022.65/1,534.20 = 584.11/x
  3. Step 3: Cross multiply
    1,022.65x = 1,534.20 × 584.11
  4. Step 4: Simplify right side
    1,022.65x = 896,142.93
  5. Step 5: Solve for x
    x = 896,142.93/1,022.65
  6. Step 6: Final answer
    x = 876.29

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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.