Home / 1,015.24-1,522.69-284.65

Finding the Fourth Proportional to 1,015.24, 1,522.69 and 284.65

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Solution

The fourth proportional to 1,015.24, 1,522.69 and 284.65 is: 426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.24 : 1,522.69 = 284.65 : x
  2. Step 2: Convert to fraction form
    1,015.24/1,522.69 = 284.65/x
  3. Step 3: Cross multiply
    1,015.24x = 1,522.69 × 284.65
  4. Step 4: Simplify right side
    1,015.24x = 433,424.67
  5. Step 5: Solve for x
    x = 433,424.67/1,015.24
  6. Step 6: Final answer
    x = 426.92

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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.