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Finding the Fourth Proportional to 880.88, 1,215.68 and 645.57

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Solution

The fourth proportional to 880.88, 1,215.68 and 645.57 is: 890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.88 : 1,215.68 = 645.57 : x
  2. Step 2: Convert to fraction form
    880.88/1,215.68 = 645.57/x
  3. Step 3: Cross multiply
    880.88x = 1,215.68 × 645.57
  4. Step 4: Simplify right side
    880.88x = 784,803.31
  5. Step 5: Solve for x
    x = 784,803.31/880.88
  6. Step 6: Final answer
    x = 890.94

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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.