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Finding the Fourth Proportional to 577.22, 862.22 and 567.50

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Solution

The fourth proportional to 577.22, 862.22 and 567.50 is: 847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.22 : 862.22 = 567.50 : x
  2. Step 2: Convert to fraction form
    577.22/862.22 = 567.50/x
  3. Step 3: Cross multiply
    577.22x = 862.22 × 567.50
  4. Step 4: Simplify right side
    577.22x = 489,309.85
  5. Step 5: Solve for x
    x = 489,309.85/577.22
  6. Step 6: Final answer
    x = 847.70

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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.