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Finding the Fourth Proportional to 969.13, 1,453.40 and 275.86

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Solution

The fourth proportional to 969.13, 1,453.40 and 275.86 is: 413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.13 : 1,453.40 = 275.86 : x
  2. Step 2: Convert to fraction form
    969.13/1,453.40 = 275.86/x
  3. Step 3: Cross multiply
    969.13x = 1,453.40 × 275.86
  4. Step 4: Simplify right side
    969.13x = 400,927.66
  5. Step 5: Solve for x
    x = 400,927.66/969.13
  6. Step 6: Final answer
    x = 413.70

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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.