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Finding the Fourth Proportional to 567.86, 782.72 and 401.80

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Solution

The fourth proportional to 567.86, 782.72 and 401.80 is: 553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.86 : 782.72 = 401.80 : x
  2. Step 2: Convert to fraction form
    567.86/782.72 = 401.80/x
  3. Step 3: Cross multiply
    567.86x = 782.72 × 401.80
  4. Step 4: Simplify right side
    567.86x = 314,496.90
  5. Step 5: Solve for x
    x = 314,496.90/567.86
  6. Step 6: Final answer
    x = 553.83

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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.