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Finding the Fourth Proportional to 1,012.24, 1,518.78 and 549.46

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Solution

The fourth proportional to 1,012.24, 1,518.78 and 549.46 is: 824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.24 : 1,518.78 = 549.46 : x
  2. Step 2: Convert to fraction form
    1,012.24/1,518.78 = 549.46/x
  3. Step 3: Cross multiply
    1,012.24x = 1,518.78 × 549.46
  4. Step 4: Simplify right side
    1,012.24x = 834,512.82
  5. Step 5: Solve for x
    x = 834,512.82/1,012.24
  6. Step 6: Final answer
    x = 824.42

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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.