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Finding the Fourth Proportional to 459.36, 685.84 and 431.57

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Solution

The fourth proportional to 459.36, 685.84 and 431.57 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.36 : 685.84 = 431.57 : x
  2. Step 2: Convert to fraction form
    459.36/685.84 = 431.57/x
  3. Step 3: Cross multiply
    459.36x = 685.84 × 431.57
  4. Step 4: Simplify right side
    459.36x = 295,987.97
  5. Step 5: Solve for x
    x = 295,987.97/459.36
  6. Step 6: Final answer
    x = 644.35

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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.