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Finding the Fourth Proportional to 632.28, 946.19 and 546.62

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Solution

The fourth proportional to 632.28, 946.19 and 546.62 is: 818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.28 : 946.19 = 546.62 : x
  2. Step 2: Convert to fraction form
    632.28/946.19 = 546.62/x
  3. Step 3: Cross multiply
    632.28x = 946.19 × 546.62
  4. Step 4: Simplify right side
    632.28x = 517,201.28
  5. Step 5: Solve for x
    x = 517,201.28/632.28
  6. Step 6: Final answer
    x = 818.00

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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.