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Finding the Fourth Proportional to 460.71, 689.69 and 444.30

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Solution

The fourth proportional to 460.71, 689.69 and 444.30 is: 665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.71 : 689.69 = 444.30 : x
  2. Step 2: Convert to fraction form
    460.71/689.69 = 444.30/x
  3. Step 3: Cross multiply
    460.71x = 689.69 × 444.30
  4. Step 4: Simplify right side
    460.71x = 306,427.05
  5. Step 5: Solve for x
    x = 306,427.05/460.71
  6. Step 6: Final answer
    x = 665.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.