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Finding the Fourth Proportional to 851.71, 1,276.72 and 406.19

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Solution

The fourth proportional to 851.71, 1,276.72 and 406.19 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.71 : 1,276.72 = 406.19 : x
  2. Step 2: Convert to fraction form
    851.71/1,276.72 = 406.19/x
  3. Step 3: Cross multiply
    851.71x = 1,276.72 × 406.19
  4. Step 4: Simplify right side
    851.71x = 518,590.90
  5. Step 5: Solve for x
    x = 518,590.90/851.71
  6. Step 6: Final answer
    x = 608.88

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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.