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Finding the Fourth Proportional to 1,648.80, 2,472.94 and 553.18

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Solution

The fourth proportional to 1,648.80, 2,472.94 and 553.18 is: 829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.80 : 2,472.94 = 553.18 : x
  2. Step 2: Convert to fraction form
    1,648.80/2,472.94 = 553.18/x
  3. Step 3: Cross multiply
    1,648.80x = 2,472.94 × 553.18
  4. Step 4: Simplify right side
    1,648.80x = 1,367,980.95
  5. Step 5: Solve for x
    x = 1,367,980.95/1,648.80
  6. Step 6: Final answer
    x = 829.68

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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.