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Finding the Fourth Proportional to 932.75, 1,285.84 and 617.48

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Solution

The fourth proportional to 932.75, 1,285.84 and 617.48 is: 851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.75 : 1,285.84 = 617.48 : x
  2. Step 2: Convert to fraction form
    932.75/1,285.84 = 617.48/x
  3. Step 3: Cross multiply
    932.75x = 1,285.84 × 617.48
  4. Step 4: Simplify right side
    932.75x = 793,985.24
  5. Step 5: Solve for x
    x = 793,985.24/932.75
  6. Step 6: Final answer
    x = 851.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.