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Finding the Fourth Proportional to 459.76, 685.82 and 431.82

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Solution

The fourth proportional to 459.76, 685.82 and 431.82 is: 644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.76 : 685.82 = 431.82 : x
  2. Step 2: Convert to fraction form
    459.76/685.82 = 431.82/x
  3. Step 3: Cross multiply
    459.76x = 685.82 × 431.82
  4. Step 4: Simplify right side
    459.76x = 296,150.79
  5. Step 5: Solve for x
    x = 296,150.79/459.76
  6. Step 6: Final answer
    x = 644.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.