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Finding the Fourth Proportional to 584.85, 872.34 and 567.56

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Solution

The fourth proportional to 584.85, 872.34 and 567.56 is: 846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.85 : 872.34 = 567.56 : x
  2. Step 2: Convert to fraction form
    584.85/872.34 = 567.56/x
  3. Step 3: Cross multiply
    584.85x = 872.34 × 567.56
  4. Step 4: Simplify right side
    584.85x = 495,100.93
  5. Step 5: Solve for x
    x = 495,100.93/584.85
  6. Step 6: Final answer
    x = 846.54

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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.