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Finding the Fourth Proportional to 871.15, 1,203.02 and 746.06

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Solution

The fourth proportional to 871.15, 1,203.02 and 746.06 is: 1,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.15 : 1,203.02 = 746.06 : x
  2. Step 2: Convert to fraction form
    871.15/1,203.02 = 746.06/x
  3. Step 3: Cross multiply
    871.15x = 1,203.02 × 746.06
  4. Step 4: Simplify right side
    871.15x = 897,525.10
  5. Step 5: Solve for x
    x = 897,525.10/871.15
  6. Step 6: Final answer
    x = 1,030.28

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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.