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Finding the Fourth Proportional to 807.86, 1,210.92 and 345.56

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Solution

The fourth proportional to 807.86, 1,210.92 and 345.56 is: 517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.86 : 1,210.92 = 345.56 : x
  2. Step 2: Convert to fraction form
    807.86/1,210.92 = 345.56/x
  3. Step 3: Cross multiply
    807.86x = 1,210.92 × 345.56
  4. Step 4: Simplify right side
    807.86x = 418,445.52
  5. Step 5: Solve for x
    x = 418,445.52/807.86
  6. Step 6: Final answer
    x = 517.97

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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.