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Finding the Fourth Proportional to 828.75, 1,242.30 and 417.27

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Solution

The fourth proportional to 828.75, 1,242.30 and 417.27 is: 625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.75 : 1,242.30 = 417.27 : x
  2. Step 2: Convert to fraction form
    828.75/1,242.30 = 417.27/x
  3. Step 3: Cross multiply
    828.75x = 1,242.30 × 417.27
  4. Step 4: Simplify right side
    828.75x = 518,374.52
  5. Step 5: Solve for x
    x = 518,374.52/828.75
  6. Step 6: Final answer
    x = 625.49

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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.