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Finding the Fourth Proportional to 2,275.86, 3,413.70 and 632.28

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Solution

The fourth proportional to 2,275.86, 3,413.70 and 632.28 is: 948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.86 : 3,413.70 = 632.28 : x
  2. Step 2: Convert to fraction form
    2,275.86/3,413.70 = 632.28/x
  3. Step 3: Cross multiply
    2,275.86x = 3,413.70 × 632.28
  4. Step 4: Simplify right side
    2,275.86x = 2,158,414.24
  5. Step 5: Solve for x
    x = 2,158,414.24/2,275.86
  6. Step 6: Final answer
    x = 948.39

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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.