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Finding the Fourth Proportional to 848.50, 1,171.02 and 615.76

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Solution

The fourth proportional to 848.50, 1,171.02 and 615.76 is: 849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.50 : 1,171.02 = 615.76 : x
  2. Step 2: Convert to fraction form
    848.50/1,171.02 = 615.76/x
  3. Step 3: Cross multiply
    848.50x = 1,171.02 × 615.76
  4. Step 4: Simplify right side
    848.50x = 721,067.28
  5. Step 5: Solve for x
    x = 721,067.28/848.50
  6. Step 6: Final answer
    x = 849.81

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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.