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Finding the Fourth Proportional to 459.23, 685.28 and 405.23

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Solution

The fourth proportional to 459.23, 685.28 and 405.23 is: 604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.23 : 685.28 = 405.23 : x
  2. Step 2: Convert to fraction form
    459.23/685.28 = 405.23/x
  3. Step 3: Cross multiply
    459.23x = 685.28 × 405.23
  4. Step 4: Simplify right side
    459.23x = 277,693.99
  5. Step 5: Solve for x
    x = 277,693.99/459.23
  6. Step 6: Final answer
    x = 604.69

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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.