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Finding the Fourth Proportional to 459.63, 691.76 and 344.69

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Solution

The fourth proportional to 459.63, 691.76 and 344.69 is: 518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.63 : 691.76 = 344.69 : x
  2. Step 2: Convert to fraction form
    459.63/691.76 = 344.69/x
  3. Step 3: Cross multiply
    459.63x = 691.76 × 344.69
  4. Step 4: Simplify right side
    459.63x = 238,442.75
  5. Step 5: Solve for x
    x = 238,442.75/459.63
  6. Step 6: Final answer
    x = 518.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.