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Finding the Fourth Proportional to 701.79, 967.57 and 535.74

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Solution

The fourth proportional to 701.79, 967.57 and 535.74 is: 738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.79 : 967.57 = 535.74 : x
  2. Step 2: Convert to fraction form
    701.79/967.57 = 535.74/x
  3. Step 3: Cross multiply
    701.79x = 967.57 × 535.74
  4. Step 4: Simplify right side
    701.79x = 518,365.95
  5. Step 5: Solve for x
    x = 518,365.95/701.79
  6. Step 6: Final answer
    x = 738.63

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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.