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Finding the Fourth Proportional to 880.88, 1,216 and 531.50

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Solution

The fourth proportional to 880.88, 1,216 and 531.50 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.88 : 1,216 = 531.50 : x
  2. Step 2: Convert to fraction form
    880.88/1,216 = 531.50/x
  3. Step 3: Cross multiply
    880.88x = 1,216 × 531.50
  4. Step 4: Simplify right side
    880.88x = 646,304
  5. Step 5: Solve for x
    x = 646,304/880.88
  6. Step 6: Final answer
    x = 733.70

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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.