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Finding the Fourth Proportional to 567.83, 781.36 and 550.91

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Solution

The fourth proportional to 567.83, 781.36 and 550.91 is: 758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.83 : 781.36 = 550.91 : x
  2. Step 2: Convert to fraction form
    567.83/781.36 = 550.91/x
  3. Step 3: Cross multiply
    567.83x = 781.36 × 550.91
  4. Step 4: Simplify right side
    567.83x = 430,459.61
  5. Step 5: Solve for x
    x = 430,459.61/567.83
  6. Step 6: Final answer
    x = 758.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.