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Finding the Fourth Proportional to 2,275.88, 3,413.40 and 632.55

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Solution

The fourth proportional to 2,275.88, 3,413.40 and 632.55 is: 948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.88 : 3,413.40 = 632.55 : x
  2. Step 2: Convert to fraction form
    2,275.88/3,413.40 = 632.55/x
  3. Step 3: Cross multiply
    2,275.88x = 3,413.40 × 632.55
  4. Step 4: Simplify right side
    2,275.88x = 2,159,146.17
  5. Step 5: Solve for x
    x = 2,159,146.17/2,275.88
  6. Step 6: Final answer
    x = 948.71

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1.5x scale

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.