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Finding the Fourth Proportional to 567.24, 847.37 and 480.17

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Solution

The fourth proportional to 567.24, 847.37 and 480.17 is: 717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 847.37 = 480.17 : x
  2. Step 2: Convert to fraction form
    567.24/847.37 = 480.17/x
  3. Step 3: Cross multiply
    567.24x = 847.37 × 480.17
  4. Step 4: Simplify right side
    567.24x = 406,875.02
  5. Step 5: Solve for x
    x = 406,875.02/567.24
  6. Step 6: Final answer
    x = 717.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.