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Finding the Fourth Proportional to 612.13, 920.22 and 567.04

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Solution

The fourth proportional to 612.13, 920.22 and 567.04 is: 852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.13 : 920.22 = 567.04 : x
  2. Step 2: Convert to fraction form
    612.13/920.22 = 567.04/x
  3. Step 3: Cross multiply
    612.13x = 920.22 × 567.04
  4. Step 4: Simplify right side
    612.13x = 521,801.55
  5. Step 5: Solve for x
    x = 521,801.55/612.13
  6. Step 6: Final answer
    x = 852.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.