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Finding the Fourth Proportional to 879.30, 1,318.95 and 302.13

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Solution

The fourth proportional to 879.30, 1,318.95 and 302.13 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.30 : 1,318.95 = 302.13 : x
  2. Step 2: Convert to fraction form
    879.30/1,318.95 = 302.13/x
  3. Step 3: Cross multiply
    879.30x = 1,318.95 × 302.13
  4. Step 4: Simplify right side
    879.30x = 398,494.36
  5. Step 5: Solve for x
    x = 398,494.36/879.30
  6. Step 6: Final answer
    x = 453.20

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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.