Home / 1,024.20-1,536.18-283.87

Finding the Fourth Proportional to 1,024.20, 1,536.18 and 283.87

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Solution

The fourth proportional to 1,024.20, 1,536.18 and 283.87 is: 425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.20 : 1,536.18 = 283.87 : x
  2. Step 2: Convert to fraction form
    1,024.20/1,536.18 = 283.87/x
  3. Step 3: Cross multiply
    1,024.20x = 1,536.18 × 283.87
  4. Step 4: Simplify right side
    1,024.20x = 436,069.23
  5. Step 5: Solve for x
    x = 436,069.23/1,024.20
  6. Step 6: Final answer
    x = 425.77

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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.