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Finding the Fourth Proportional to 932.97, 1,401.08 and 857.01

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Solution

The fourth proportional to 932.97, 1,401.08 and 857.01 is: 1,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.97 : 1,401.08 = 857.01 : x
  2. Step 2: Convert to fraction form
    932.97/1,401.08 = 857.01/x
  3. Step 3: Cross multiply
    932.97x = 1,401.08 × 857.01
  4. Step 4: Simplify right side
    932.97x = 1,200,735.29
  5. Step 5: Solve for x
    x = 1,200,735.29/932.97
  6. Step 6: Final answer
    x = 1,287.00

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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.