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Finding the Fourth Proportional to 880, 1,213.30 and 564.71

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Solution

The fourth proportional to 880, 1,213.30 and 564.71 is: 778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    880 : 1,213.30 = 564.71 : x
  2. Step 2: Convert to fraction form
    880/1,213.30 = 564.71/x
  3. Step 3: Cross multiply
    880x = 1,213.30 × 564.71
  4. Step 4: Simplify right side
    880x = 685,156.79
  5. Step 5: Solve for x
    x = 685,156.79/880
  6. Step 6: Final answer
    x = 778.59

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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.