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Finding the Fourth Proportional to 689.13, 951.21 and 427.23

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Solution

The fourth proportional to 689.13, 951.21 and 427.23 is: 589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.13 : 951.21 = 427.23 : x
  2. Step 2: Convert to fraction form
    689.13/951.21 = 427.23/x
  3. Step 3: Cross multiply
    689.13x = 951.21 × 427.23
  4. Step 4: Simplify right side
    689.13x = 406,385.45
  5. Step 5: Solve for x
    x = 406,385.45/689.13
  6. Step 6: Final answer
    x = 589.71

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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.