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Finding the Fourth Proportional to 632.33, 946.46 and 339.10

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Solution

The fourth proportional to 632.33, 946.46 and 339.10 is: 507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.33 : 946.46 = 339.10 : x
  2. Step 2: Convert to fraction form
    632.33/946.46 = 339.10/x
  3. Step 3: Cross multiply
    632.33x = 946.46 × 339.10
  4. Step 4: Simplify right side
    632.33x = 320,939.85
  5. Step 5: Solve for x
    x = 320,939.85/632.33
  6. Step 6: Final answer
    x = 507.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.