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Finding the Fourth Proportional to 871.70, 1,203.34 and 540.58

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Solution

The fourth proportional to 871.70, 1,203.34 and 540.58 is: 746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.70 : 1,203.34 = 540.58 : x
  2. Step 2: Convert to fraction form
    871.70/1,203.34 = 540.58/x
  3. Step 3: Cross multiply
    871.70x = 1,203.34 × 540.58
  4. Step 4: Simplify right side
    871.70x = 650,501.54
  5. Step 5: Solve for x
    x = 650,501.54/871.70
  6. Step 6: Final answer
    x = 746.24

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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.