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Finding the Fourth Proportional to 764.62, 1,060.59 and 738.40

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Solution

The fourth proportional to 764.62, 1,060.59 and 738.40 is: 1,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.62 : 1,060.59 = 738.40 : x
  2. Step 2: Convert to fraction form
    764.62/1,060.59 = 738.40/x
  3. Step 3: Cross multiply
    764.62x = 1,060.59 × 738.40
  4. Step 4: Simplify right side
    764.62x = 783,132.51
  5. Step 5: Solve for x
    x = 783,132.51/764.62
  6. Step 6: Final answer
    x = 1,024.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.