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Finding the Fourth Proportional to 816.12, 1,225.73 and 508.54

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Solution

The fourth proportional to 816.12, 1,225.73 and 508.54 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.12 : 1,225.73 = 508.54 : x
  2. Step 2: Convert to fraction form
    816.12/1,225.73 = 508.54/x
  3. Step 3: Cross multiply
    816.12x = 1,225.73 × 508.54
  4. Step 4: Simplify right side
    816.12x = 623,332.73
  5. Step 5: Solve for x
    x = 623,332.73/816.12
  6. Step 6: Final answer
    x = 763.78

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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.