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Finding the Fourth Proportional to 763, 1,053.04 and 452.52

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Solution

The fourth proportional to 763, 1,053.04 and 452.52 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    763 : 1,053.04 = 452.52 : x
  2. Step 2: Convert to fraction form
    763/1,053.04 = 452.52/x
  3. Step 3: Cross multiply
    763x = 1,053.04 × 452.52
  4. Step 4: Simplify right side
    763x = 476,521.66
  5. Step 5: Solve for x
    x = 476,521.66/763
  6. Step 6: Final answer
    x = 624.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.