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Finding the Fourth Proportional to 632.44, 946.16 and 478.81

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Solution

The fourth proportional to 632.44, 946.16 and 478.81 is: 716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.44 : 946.16 = 478.81 : x
  2. Step 2: Convert to fraction form
    632.44/946.16 = 478.81/x
  3. Step 3: Cross multiply
    632.44x = 946.16 × 478.81
  4. Step 4: Simplify right side
    632.44x = 453,023.74
  5. Step 5: Solve for x
    x = 453,023.74/632.44
  6. Step 6: Final answer
    x = 716.32

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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.