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Finding the Fourth Proportional to 689.40, 951.30 and 440.91

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Solution

The fourth proportional to 689.40, 951.30 and 440.91 is: 608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.40 : 951.30 = 440.91 : x
  2. Step 2: Convert to fraction form
    689.40/951.30 = 440.91/x
  3. Step 3: Cross multiply
    689.40x = 951.30 × 440.91
  4. Step 4: Simplify right side
    689.40x = 419,437.68
  5. Step 5: Solve for x
    x = 419,437.68/689.40
  6. Step 6: Final answer
    x = 608.41

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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.