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Finding the Fourth Proportional to 689.53, 951.27 and 427.69

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Solution

The fourth proportional to 689.53, 951.27 and 427.69 is: 590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.53 : 951.27 = 427.69 : x
  2. Step 2: Convert to fraction form
    689.53/951.27 = 427.69/x
  3. Step 3: Cross multiply
    689.53x = 951.27 × 427.69
  4. Step 4: Simplify right side
    689.53x = 406,848.67
  5. Step 5: Solve for x
    x = 406,848.67/689.53
  6. Step 6: Final answer
    x = 590.04

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1.5x scale

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.