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Finding the Fourth Proportional to 873.35, 1,308.18 and 564.11

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Solution

The fourth proportional to 873.35, 1,308.18 and 564.11 is: 844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.35 : 1,308.18 = 564.11 : x
  2. Step 2: Convert to fraction form
    873.35/1,308.18 = 564.11/x
  3. Step 3: Cross multiply
    873.35x = 1,308.18 × 564.11
  4. Step 4: Simplify right side
    873.35x = 737,957.42
  5. Step 5: Solve for x
    x = 737,957.42/873.35
  6. Step 6: Final answer
    x = 844.97

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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.