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Finding the Fourth Proportional to 768.71, 1,061.57 and 657.54

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Solution

The fourth proportional to 768.71, 1,061.57 and 657.54 is: 908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.71 : 1,061.57 = 657.54 : x
  2. Step 2: Convert to fraction form
    768.71/1,061.57 = 657.54/x
  3. Step 3: Cross multiply
    768.71x = 1,061.57 × 657.54
  4. Step 4: Simplify right side
    768.71x = 698,024.74
  5. Step 5: Solve for x
    x = 698,024.74/768.71
  6. Step 6: Final answer
    x = 908.05

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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.