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Finding the Fourth Proportional to 1,440.62, 1,988.13 and 880.94

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Solution

The fourth proportional to 1,440.62, 1,988.13 and 880.94 is: 1,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.62 : 1,988.13 = 880.94 : x
  2. Step 2: Convert to fraction form
    1,440.62/1,988.13 = 880.94/x
  3. Step 3: Cross multiply
    1,440.62x = 1,988.13 × 880.94
  4. Step 4: Simplify right side
    1,440.62x = 1,751,413.30
  5. Step 5: Solve for x
    x = 1,751,413.30/1,440.62
  6. Step 6: Final answer
    x = 1,215.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.