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Finding the Fourth Proportional to 874.81, 1,312.71 and 327.36

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Solution

The fourth proportional to 874.81, 1,312.71 and 327.36 is: 491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.81 : 1,312.71 = 327.36 : x
  2. Step 2: Convert to fraction form
    874.81/1,312.71 = 327.36/x
  3. Step 3: Cross multiply
    874.81x = 1,312.71 × 327.36
  4. Step 4: Simplify right side
    874.81x = 429,728.75
  5. Step 5: Solve for x
    x = 429,728.75/874.81
  6. Step 6: Final answer
    x = 491.23

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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.