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Finding the Fourth Proportional to 460.59, 689.37 and 444.52

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Solution

The fourth proportional to 460.59, 689.37 and 444.52 is: 665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 689.37 = 444.52 : x
  2. Step 2: Convert to fraction form
    460.59/689.37 = 444.52/x
  3. Step 3: Cross multiply
    460.59x = 689.37 × 444.52
  4. Step 4: Simplify right side
    460.59x = 306,438.75
  5. Step 5: Solve for x
    x = 306,438.75/460.59
  6. Step 6: Final answer
    x = 665.32

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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.