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Finding the Fourth Proportional to 851.52, 1,277.98 and 440.79

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Solution

The fourth proportional to 851.52, 1,277.98 and 440.79 is: 661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.52 : 1,277.98 = 440.79 : x
  2. Step 2: Convert to fraction form
    851.52/1,277.98 = 440.79/x
  3. Step 3: Cross multiply
    851.52x = 1,277.98 × 440.79
  4. Step 4: Simplify right side
    851.52x = 563,320.80
  5. Step 5: Solve for x
    x = 563,320.80/851.52
  6. Step 6: Final answer
    x = 661.55

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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.