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Finding the Fourth Proportional to 567.50, 783.17 and 318.80

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Solution

The fourth proportional to 567.50, 783.17 and 318.80 is: 439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.50 : 783.17 = 318.80 : x
  2. Step 2: Convert to fraction form
    567.50/783.17 = 318.80/x
  3. Step 3: Cross multiply
    567.50x = 783.17 × 318.80
  4. Step 4: Simplify right side
    567.50x = 249,669.09
  5. Step 5: Solve for x
    x = 249,669.09/567.50
  6. Step 6: Final answer
    x = 439.95

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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.