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Finding the Fourth Proportional to 807.54, 1,210.75 and 396.42

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Solution

The fourth proportional to 807.54, 1,210.75 and 396.42 is: 594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.54 : 1,210.75 = 396.42 : x
  2. Step 2: Convert to fraction form
    807.54/1,210.75 = 396.42/x
  3. Step 3: Cross multiply
    807.54x = 1,210.75 × 396.42
  4. Step 4: Simplify right side
    807.54x = 479,963.39
  5. Step 5: Solve for x
    x = 479,963.39/807.54
  6. Step 6: Final answer
    x = 594.35

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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.