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Finding the Fourth Proportional to 828.04, 1,242.15 and 365.70

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Solution

The fourth proportional to 828.04, 1,242.15 and 365.70 is: 548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.04 : 1,242.15 = 365.70 : x
  2. Step 2: Convert to fraction form
    828.04/1,242.15 = 365.70/x
  3. Step 3: Cross multiply
    828.04x = 1,242.15 × 365.70
  4. Step 4: Simplify right side
    828.04x = 454,248.45
  5. Step 5: Solve for x
    x = 454,248.45/828.04
  6. Step 6: Final answer
    x = 548.58

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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.