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Finding the Fourth Proportional to 871.90, 1,203.28 and 518.04

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Solution

The fourth proportional to 871.90, 1,203.28 and 518.04 is: 714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.90 : 1,203.28 = 518.04 : x
  2. Step 2: Convert to fraction form
    871.90/1,203.28 = 518.04/x
  3. Step 3: Cross multiply
    871.90x = 1,203.28 × 518.04
  4. Step 4: Simplify right side
    871.90x = 623,347.17
  5. Step 5: Solve for x
    x = 623,347.17/871.90
  6. Step 6: Final answer
    x = 714.93

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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.