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Finding the Fourth Proportional to 460.06, 689.41 and 362.79

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Solution

The fourth proportional to 460.06, 689.41 and 362.79 is: 543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.06 : 689.41 = 362.79 : x
  2. Step 2: Convert to fraction form
    460.06/689.41 = 362.79/x
  3. Step 3: Cross multiply
    460.06x = 689.41 × 362.79
  4. Step 4: Simplify right side
    460.06x = 250,111.05
  5. Step 5: Solve for x
    x = 250,111.05/460.06
  6. Step 6: Final answer
    x = 543.65

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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.