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Finding the Fourth Proportional to 567.35, 782.67 and 357.43

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Solution

The fourth proportional to 567.35, 782.67 and 357.43 is: 493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.35 : 782.67 = 357.43 : x
  2. Step 2: Convert to fraction form
    567.35/782.67 = 357.43/x
  3. Step 3: Cross multiply
    567.35x = 782.67 × 357.43
  4. Step 4: Simplify right side
    567.35x = 279,749.74
  5. Step 5: Solve for x
    x = 279,749.74/567.35
  6. Step 6: Final answer
    x = 493.08

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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.