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Finding the Fourth Proportional to 622.24, 937.93 and 584.08

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Solution

The fourth proportional to 622.24, 937.93 and 584.08 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.24 : 937.93 = 584.08 : x
  2. Step 2: Convert to fraction form
    622.24/937.93 = 584.08/x
  3. Step 3: Cross multiply
    622.24x = 937.93 × 584.08
  4. Step 4: Simplify right side
    622.24x = 547,826.15
  5. Step 5: Solve for x
    x = 547,826.15/622.24
  6. Step 6: Final answer
    x = 880.41

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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.