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Finding the Fourth Proportional to 857.97, 1,281.74 and 547.35

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Solution

The fourth proportional to 857.97, 1,281.74 and 547.35 is: 817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.97 : 1,281.74 = 547.35 : x
  2. Step 2: Convert to fraction form
    857.97/1,281.74 = 547.35/x
  3. Step 3: Cross multiply
    857.97x = 1,281.74 × 547.35
  4. Step 4: Simplify right side
    857.97x = 701,557.65
  5. Step 5: Solve for x
    x = 701,557.65/857.97
  6. Step 6: Final answer
    x = 817.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.