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Finding the Fourth Proportional to 555.54, 831.51 and 409.26

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Solution

The fourth proportional to 555.54, 831.51 and 409.26 is: 612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.54 : 831.51 = 409.26 : x
  2. Step 2: Convert to fraction form
    555.54/831.51 = 409.26/x
  3. Step 3: Cross multiply
    555.54x = 831.51 × 409.26
  4. Step 4: Simplify right side
    555.54x = 340,303.78
  5. Step 5: Solve for x
    x = 340,303.78/555.54
  6. Step 6: Final answer
    x = 612.56

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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.