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Finding the Fourth Proportional to 567.42, 782.74 and 357.20

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Solution

The fourth proportional to 567.42, 782.74 and 357.20 is: 492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.42 : 782.74 = 357.20 : x
  2. Step 2: Convert to fraction form
    567.42/782.74 = 357.20/x
  3. Step 3: Cross multiply
    567.42x = 782.74 × 357.20
  4. Step 4: Simplify right side
    567.42x = 279,589.92
  5. Step 5: Solve for x
    x = 279,589.92/567.42
  6. Step 6: Final answer
    x = 492.74

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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.