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Finding the Fourth Proportional to 867.34, 1,300.56 and 319.42

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Solution

The fourth proportional to 867.34, 1,300.56 and 319.42 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.34 : 1,300.56 = 319.42 : x
  2. Step 2: Convert to fraction form
    867.34/1,300.56 = 319.42/x
  3. Step 3: Cross multiply
    867.34x = 1,300.56 × 319.42
  4. Step 4: Simplify right side
    867.34x = 415,424.88
  5. Step 5: Solve for x
    x = 415,424.88/867.34
  6. Step 6: Final answer
    x = 478.96

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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.