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Finding the Fourth Proportional to 768.14, 1,059.72 and 535.40

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Solution

The fourth proportional to 768.14, 1,059.72 and 535.40 is: 738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.14 : 1,059.72 = 535.40 : x
  2. Step 2: Convert to fraction form
    768.14/1,059.72 = 535.40/x
  3. Step 3: Cross multiply
    768.14x = 1,059.72 × 535.40
  4. Step 4: Simplify right side
    768.14x = 567,374.09
  5. Step 5: Solve for x
    x = 567,374.09/768.14
  6. Step 6: Final answer
    x = 738.63

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1.5x scale

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.