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Finding the Fourth Proportional to 768.32, 1,060.01 and 591.33

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Solution

The fourth proportional to 768.32, 1,060.01 and 591.33 is: 815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.32 : 1,060.01 = 591.33 : x
  2. Step 2: Convert to fraction form
    768.32/1,060.01 = 591.33/x
  3. Step 3: Cross multiply
    768.32x = 1,060.01 × 591.33
  4. Step 4: Simplify right side
    768.32x = 626,815.71
  5. Step 5: Solve for x
    x = 626,815.71/768.32
  6. Step 6: Final answer
    x = 815.83

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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.