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Finding the Fourth Proportional to 632.07, 946.13 and 409.40

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Solution

The fourth proportional to 632.07, 946.13 and 409.40 is: 612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.07 : 946.13 = 409.40 : x
  2. Step 2: Convert to fraction form
    632.07/946.13 = 409.40/x
  3. Step 3: Cross multiply
    632.07x = 946.13 × 409.40
  4. Step 4: Simplify right side
    632.07x = 387,350.02
  5. Step 5: Solve for x
    x = 387,350.02/632.07
  6. Step 6: Final answer
    x = 612.83

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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.