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Finding the Fourth Proportional to 874.30, 1,311.68 and 258.00

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Solution

The fourth proportional to 874.30, 1,311.68 and 258.00 is: 387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.30 : 1,311.68 = 258.00 : x
  2. Step 2: Convert to fraction form
    874.30/1,311.68 = 258.00/x
  3. Step 3: Cross multiply
    874.30x = 1,311.68 × 258.00
  4. Step 4: Simplify right side
    874.30x = 338,416.49
  5. Step 5: Solve for x
    x = 338,416.49/874.30
  6. Step 6: Final answer
    x = 387.07

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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.