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Finding the Fourth Proportional to 807.92, 1,210 and 395.78

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Solution

The fourth proportional to 807.92, 1,210 and 395.78 is: 592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.92 : 1,210 = 395.78 : x
  2. Step 2: Convert to fraction form
    807.92/1,210 = 395.78/x
  3. Step 3: Cross multiply
    807.92x = 1,210 × 395.78
  4. Step 4: Simplify right side
    807.92x = 478,893.80
  5. Step 5: Solve for x
    x = 478,893.80/807.92
  6. Step 6: Final answer
    x = 592.75

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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.