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Finding the Fourth Proportional to 857.97, 1,287.54 and 533.55

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Solution

The fourth proportional to 857.97, 1,287.54 and 533.55 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.97 : 1,287.54 = 533.55 : x
  2. Step 2: Convert to fraction form
    857.97/1,287.54 = 533.55/x
  3. Step 3: Cross multiply
    857.97x = 1,287.54 × 533.55
  4. Step 4: Simplify right side
    857.97x = 686,966.97
  5. Step 5: Solve for x
    x = 686,966.97/857.97
  6. Step 6: Final answer
    x = 800.69

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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.