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Finding the Fourth Proportional to 459.18, 685.98 and 381.69

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Solution

The fourth proportional to 459.18, 685.98 and 381.69 is: 570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.18 : 685.98 = 381.69 : x
  2. Step 2: Convert to fraction form
    459.18/685.98 = 381.69/x
  3. Step 3: Cross multiply
    459.18x = 685.98 × 381.69
  4. Step 4: Simplify right side
    459.18x = 261,831.71
  5. Step 5: Solve for x
    x = 261,831.71/459.18
  6. Step 6: Final answer
    x = 570.22

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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.