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Finding the Fourth Proportional to 632.45, 949.13 and 456.65

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Solution

The fourth proportional to 632.45, 949.13 and 456.65 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.45 : 949.13 = 456.65 : x
  2. Step 2: Convert to fraction form
    632.45/949.13 = 456.65/x
  3. Step 3: Cross multiply
    632.45x = 949.13 × 456.65
  4. Step 4: Simplify right side
    632.45x = 433,413.19
  5. Step 5: Solve for x
    x = 433,413.19/632.45
  6. Step 6: Final answer
    x = 685.30

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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.