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Finding the Fourth Proportional to 460.31, 689.49 and 344.93

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Solution

The fourth proportional to 460.31, 689.49 and 344.93 is: 516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.31 : 689.49 = 344.93 : x
  2. Step 2: Convert to fraction form
    460.31/689.49 = 344.93/x
  3. Step 3: Cross multiply
    460.31x = 689.49 × 344.93
  4. Step 4: Simplify right side
    460.31x = 237,825.79
  5. Step 5: Solve for x
    x = 237,825.79/460.31
  6. Step 6: Final answer
    x = 516.66

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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.