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Finding the Fourth Proportional to 567.20, 782.76 and 318.53

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Solution

The fourth proportional to 567.20, 782.76 and 318.53 is: 439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.20 : 782.76 = 318.53 : x
  2. Step 2: Convert to fraction form
    567.20/782.76 = 318.53/x
  3. Step 3: Cross multiply
    567.20x = 782.76 × 318.53
  4. Step 4: Simplify right side
    567.20x = 249,328.63
  5. Step 5: Solve for x
    x = 249,328.63/567.20
  6. Step 6: Final answer
    x = 439.58

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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.