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Finding the Fourth Proportional to 851.90, 1,276.76 and 440.24

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Solution

The fourth proportional to 851.90, 1,276.76 and 440.24 is: 659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.90 : 1,276.76 = 440.24 : x
  2. Step 2: Convert to fraction form
    851.90/1,276.76 = 440.24/x
  3. Step 3: Cross multiply
    851.90x = 1,276.76 × 440.24
  4. Step 4: Simplify right side
    851.90x = 562,080.82
  5. Step 5: Solve for x
    x = 562,080.82/851.90
  6. Step 6: Final answer
    x = 659.80

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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.