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Finding the Fourth Proportional to 815.76, 1,224.18 and 405.18

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Solution

The fourth proportional to 815.76, 1,224.18 and 405.18 is: 608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,224.18 = 405.18 : x
  2. Step 2: Convert to fraction form
    815.76/1,224.18 = 405.18/x
  3. Step 3: Cross multiply
    815.76x = 1,224.18 × 405.18
  4. Step 4: Simplify right side
    815.76x = 496,013.25
  5. Step 5: Solve for x
    x = 496,013.25/815.76
  6. Step 6: Final answer
    x = 608.04

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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.