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Finding the Fourth Proportional to 459.69, 689.13 and 394.76

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Solution

The fourth proportional to 459.69, 689.13 and 394.76 is: 591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.69 : 689.13 = 394.76 : x
  2. Step 2: Convert to fraction form
    459.69/689.13 = 394.76/x
  3. Step 3: Cross multiply
    459.69x = 689.13 × 394.76
  4. Step 4: Simplify right side
    459.69x = 272,037.51
  5. Step 5: Solve for x
    x = 272,037.51/459.69
  6. Step 6: Final answer
    x = 591.78

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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.