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Finding the Fourth Proportional to 857.96, 1,184.28 and 543.44

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Solution

The fourth proportional to 857.96, 1,184.28 and 543.44 is: 750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.96 : 1,184.28 = 543.44 : x
  2. Step 2: Convert to fraction form
    857.96/1,184.28 = 543.44/x
  3. Step 3: Cross multiply
    857.96x = 1,184.28 × 543.44
  4. Step 4: Simplify right side
    857.96x = 643,585.12
  5. Step 5: Solve for x
    x = 643,585.12/857.96
  6. Step 6: Final answer
    x = 750.13

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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.