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Finding the Fourth Proportional to 880.80, 1,215.99 and 659.67

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Solution

The fourth proportional to 880.80, 1,215.99 and 659.67 is: 910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.80 : 1,215.99 = 659.67 : x
  2. Step 2: Convert to fraction form
    880.80/1,215.99 = 659.67/x
  3. Step 3: Cross multiply
    880.80x = 1,215.99 × 659.67
  4. Step 4: Simplify right side
    880.80x = 802,152.12
  5. Step 5: Solve for x
    x = 802,152.12/880.80
  6. Step 6: Final answer
    x = 910.71

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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.