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Finding the Fourth Proportional to 567.72, 782.64 and 381.12

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Solution

The fourth proportional to 567.72, 782.64 and 381.12 is: 525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.72 : 782.64 = 381.12 : x
  2. Step 2: Convert to fraction form
    567.72/782.64 = 381.12/x
  3. Step 3: Cross multiply
    567.72x = 782.64 × 381.12
  4. Step 4: Simplify right side
    567.72x = 298,279.76
  5. Step 5: Solve for x
    x = 298,279.76/567.72
  6. Step 6: Final answer
    x = 525.40

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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.