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Finding the Fourth Proportional to 556.92, 831.88 and 546.67

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Solution

The fourth proportional to 556.92, 831.88 and 546.67 is: 816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 831.88 = 546.67 : x
  2. Step 2: Convert to fraction form
    556.92/831.88 = 546.67/x
  3. Step 3: Cross multiply
    556.92x = 831.88 × 546.67
  4. Step 4: Simplify right side
    556.92x = 454,765.56
  5. Step 5: Solve for x
    x = 454,765.56/556.92
  6. Step 6: Final answer
    x = 816.57

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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.