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Finding the Fourth Proportional to 558.27, 831.57 and 538.20

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Solution

The fourth proportional to 558.27, 831.57 and 538.20 is: 801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.27 : 831.57 = 538.20 : x
  2. Step 2: Convert to fraction form
    558.27/831.57 = 538.20/x
  3. Step 3: Cross multiply
    558.27x = 831.57 × 538.20
  4. Step 4: Simplify right side
    558.27x = 447,550.97
  5. Step 5: Solve for x
    x = 447,550.97/558.27
  6. Step 6: Final answer
    x = 801.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.