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Finding the Fourth Proportional to 555.48, 831.74 and 506.73

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Solution

The fourth proportional to 555.48, 831.74 and 506.73 is: 758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.48 : 831.74 = 506.73 : x
  2. Step 2: Convert to fraction form
    555.48/831.74 = 506.73/x
  3. Step 3: Cross multiply
    555.48x = 831.74 × 506.73
  4. Step 4: Simplify right side
    555.48x = 421,470.13
  5. Step 5: Solve for x
    x = 421,470.13/555.48
  6. Step 6: Final answer
    x = 758.75

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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.