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Finding the Fourth Proportional to 567.44, 782.95 and 357.65

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Solution

The fourth proportional to 567.44, 782.95 and 357.65 is: 493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.44 : 782.95 = 357.65 : x
  2. Step 2: Convert to fraction form
    567.44/782.95 = 357.65/x
  3. Step 3: Cross multiply
    567.44x = 782.95 × 357.65
  4. Step 4: Simplify right side
    567.44x = 280,016.36
  5. Step 5: Solve for x
    x = 280,016.36/567.44
  6. Step 6: Final answer
    x = 493.48

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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.