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Finding the Fourth Proportional to 555.68, 831.56 and 409.09

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Solution

The fourth proportional to 555.68, 831.56 and 409.09 is: 612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.68 : 831.56 = 409.09 : x
  2. Step 2: Convert to fraction form
    555.68/831.56 = 409.09/x
  3. Step 3: Cross multiply
    555.68x = 831.56 × 409.09
  4. Step 4: Simplify right side
    555.68x = 340,182.62
  5. Step 5: Solve for x
    x = 340,182.62/555.68
  6. Step 6: Final answer
    x = 612.19

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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.