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Finding the Fourth Proportional to 874.94, 1,312.40 and 327.11

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Solution

The fourth proportional to 874.94, 1,312.40 and 327.11 is: 490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.94 : 1,312.40 = 327.11 : x
  2. Step 2: Convert to fraction form
    874.94/1,312.40 = 327.11/x
  3. Step 3: Cross multiply
    874.94x = 1,312.40 × 327.11
  4. Step 4: Simplify right side
    874.94x = 429,293.42
  5. Step 5: Solve for x
    x = 429,293.42/874.94
  6. Step 6: Final answer
    x = 490.66

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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.