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Finding the Fourth Proportional to 851.31, 1,276.16 and 465.75

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Solution

The fourth proportional to 851.31, 1,276.16 and 465.75 is: 698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.31 : 1,276.16 = 465.75 : x
  2. Step 2: Convert to fraction form
    851.31/1,276.16 = 465.75/x
  3. Step 3: Cross multiply
    851.31x = 1,276.16 × 465.75
  4. Step 4: Simplify right side
    851.31x = 594,369.19
  5. Step 5: Solve for x
    x = 594,369.19/851.31
  6. Step 6: Final answer
    x = 698.18

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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.