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Finding the Fourth Proportional to 857.16, 1,290.42 and 584.97

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Solution

The fourth proportional to 857.16, 1,290.42 and 584.97 is: 880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.16 : 1,290.42 = 584.97 : x
  2. Step 2: Convert to fraction form
    857.16/1,290.42 = 584.97/x
  3. Step 3: Cross multiply
    857.16x = 1,290.42 × 584.97
  4. Step 4: Simplify right side
    857.16x = 754,854.06
  5. Step 5: Solve for x
    x = 754,854.06/857.16
  6. Step 6: Final answer
    x = 880.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.