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Finding the Fourth Proportional to 857.03, 1,290.23 and 584.85

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Solution

The fourth proportional to 857.03, 1,290.23 and 584.85 is: 880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.03 : 1,290.23 = 584.85 : x
  2. Step 2: Convert to fraction form
    857.03/1,290.23 = 584.85/x
  3. Step 3: Cross multiply
    857.03x = 1,290.23 × 584.85
  4. Step 4: Simplify right side
    857.03x = 754,581.64
  5. Step 5: Solve for x
    x = 754,581.64/857.03
  6. Step 6: Final answer
    x = 880.46

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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.