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Finding the Fourth Proportional to 857.04, 1,283.25 and 547.20

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Solution

The fourth proportional to 857.04, 1,283.25 and 547.20 is: 819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.04 : 1,283.25 = 547.20 : x
  2. Step 2: Convert to fraction form
    857.04/1,283.25 = 547.20/x
  3. Step 3: Cross multiply
    857.04x = 1,283.25 × 547.20
  4. Step 4: Simplify right side
    857.04x = 702,194.40
  5. Step 5: Solve for x
    x = 702,194.40/857.04
  6. Step 6: Final answer
    x = 819.33

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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.