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Finding the Fourth Proportional to 871.94, 1,308.32 and 547.54

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Solution

The fourth proportional to 871.94, 1,308.32 and 547.54 is: 821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.94 : 1,308.32 = 547.54 : x
  2. Step 2: Convert to fraction form
    871.94/1,308.32 = 547.54/x
  3. Step 3: Cross multiply
    871.94x = 1,308.32 × 547.54
  4. Step 4: Simplify right side
    871.94x = 716,357.53
  5. Step 5: Solve for x
    x = 716,357.53/871.94
  6. Step 6: Final answer
    x = 821.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.