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Finding the Fourth Proportional to 2,275.72, 3,413.14 and 631.96

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Solution

The fourth proportional to 2,275.72, 3,413.14 and 631.96 is: 947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.72 : 3,413.14 = 631.96 : x
  2. Step 2: Convert to fraction form
    2,275.72/3,413.14 = 631.96/x
  3. Step 3: Cross multiply
    2,275.72x = 3,413.14 × 631.96
  4. Step 4: Simplify right side
    2,275.72x = 2,156,967.95
  5. Step 5: Solve for x
    x = 2,156,967.95/2,275.72
  6. Step 6: Final answer
    x = 947.82

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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.