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Finding the Fourth Proportional to 767.88, 1,059.52 and 531.46

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Solution

The fourth proportional to 767.88, 1,059.52 and 531.46 is: 733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.88 : 1,059.52 = 531.46 : x
  2. Step 2: Convert to fraction form
    767.88/1,059.52 = 531.46/x
  3. Step 3: Cross multiply
    767.88x = 1,059.52 × 531.46
  4. Step 4: Simplify right side
    767.88x = 563,092.50
  5. Step 5: Solve for x
    x = 563,092.50/767.88
  6. Step 6: Final answer
    x = 733.31

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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.