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Finding the Fourth Proportional to 567.11, 845.96 and 557.72

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Solution

The fourth proportional to 567.11, 845.96 and 557.72 is: 831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.11 : 845.96 = 557.72 : x
  2. Step 2: Convert to fraction form
    567.11/845.96 = 557.72/x
  3. Step 3: Cross multiply
    567.11x = 845.96 × 557.72
  4. Step 4: Simplify right side
    567.11x = 471,801.79
  5. Step 5: Solve for x
    x = 471,801.79/567.11
  6. Step 6: Final answer
    x = 831.94

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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.