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Finding the Fourth Proportional to 555.59, 831.80 and 408.87

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Solution

The fourth proportional to 555.59, 831.80 and 408.87 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.59 : 831.80 = 408.87 : x
  2. Step 2: Convert to fraction form
    555.59/831.80 = 408.87/x
  3. Step 3: Cross multiply
    555.59x = 831.80 × 408.87
  4. Step 4: Simplify right side
    555.59x = 340,099.09
  5. Step 5: Solve for x
    x = 340,099.09/555.59
  6. Step 6: Final answer
    x = 612.14

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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.