Home / 1,021.11-1,529.72-582.66

Finding the Fourth Proportional to 1,021.11, 1,529.72 and 582.66

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Solution

The fourth proportional to 1,021.11, 1,529.72 and 582.66 is: 872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.11 : 1,529.72 = 582.66 : x
  2. Step 2: Convert to fraction form
    1,021.11/1,529.72 = 582.66/x
  3. Step 3: Cross multiply
    1,021.11x = 1,529.72 × 582.66
  4. Step 4: Simplify right side
    1,021.11x = 891,306.66
  5. Step 5: Solve for x
    x = 891,306.66/1,021.11
  6. Step 6: Final answer
    x = 872.88

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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.