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Finding the Fourth Proportional to 567.11, 782.80 and 357.64

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Solution

The fourth proportional to 567.11, 782.80 and 357.64 is: 493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.11 : 782.80 = 357.64 : x
  2. Step 2: Convert to fraction form
    567.11/782.80 = 357.64/x
  3. Step 3: Cross multiply
    567.11x = 782.80 × 357.64
  4. Step 4: Simplify right side
    567.11x = 279,956.68
  5. Step 5: Solve for x
    x = 279,956.68/567.11
  6. Step 6: Final answer
    x = 493.66

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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.