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Finding the Fourth Proportional to 832.38, 1,247.76 and 312.24

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Solution

The fourth proportional to 832.38, 1,247.76 and 312.24 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.38 : 1,247.76 = 312.24 : x
  2. Step 2: Convert to fraction form
    832.38/1,247.76 = 312.24/x
  3. Step 3: Cross multiply
    832.38x = 1,247.76 × 312.24
  4. Step 4: Simplify right side
    832.38x = 389,594.34
  5. Step 5: Solve for x
    x = 389,594.34/832.38
  6. Step 6: Final answer
    x = 468.05

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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.