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Finding the Fourth Proportional to 567.14, 782.61 and 318.41

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Solution

The fourth proportional to 567.14, 782.61 and 318.41 is: 439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 782.61 = 318.41 : x
  2. Step 2: Convert to fraction form
    567.14/782.61 = 318.41/x
  3. Step 3: Cross multiply
    567.14x = 782.61 × 318.41
  4. Step 4: Simplify right side
    567.14x = 249,186.94
  5. Step 5: Solve for x
    x = 249,186.94/567.14
  6. Step 6: Final answer
    x = 439.38

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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.