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Finding the Fourth Proportional to 871.71, 1,199.34 and 761.45

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Solution

The fourth proportional to 871.71, 1,199.34 and 761.45 is: 1,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.71 : 1,199.34 = 761.45 : x
  2. Step 2: Convert to fraction form
    871.71/1,199.34 = 761.45/x
  3. Step 3: Cross multiply
    871.71x = 1,199.34 × 761.45
  4. Step 4: Simplify right side
    871.71x = 913,231.45
  5. Step 5: Solve for x
    x = 913,231.45/871.71
  6. Step 6: Final answer
    x = 1,047.63

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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.