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Finding the Fourth Proportional to 567.18, 782.12 and 448.97

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Solution

The fourth proportional to 567.18, 782.12 and 448.97 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 782.12 = 448.97 : x
  2. Step 2: Convert to fraction form
    567.18/782.12 = 448.97/x
  3. Step 3: Cross multiply
    567.18x = 782.12 × 448.97
  4. Step 4: Simplify right side
    567.18x = 351,142.26
  5. Step 5: Solve for x
    x = 351,142.26/567.18
  6. Step 6: Final answer
    x = 619.10

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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.