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Finding the Fourth Proportional to 555.18, 831.93 and 400.20

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Solution

The fourth proportional to 555.18, 831.93 and 400.20 is: 599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.18 : 831.93 = 400.20 : x
  2. Step 2: Convert to fraction form
    555.18/831.93 = 400.20/x
  3. Step 3: Cross multiply
    555.18x = 831.93 × 400.20
  4. Step 4: Simplify right side
    555.18x = 332,938.39
  5. Step 5: Solve for x
    x = 332,938.39/555.18
  6. Step 6: Final answer
    x = 599.69

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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.