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Finding the Fourth Proportional to 551.76, 760.43 and 535.97

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Solution

The fourth proportional to 551.76, 760.43 and 535.97 is: 738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.76 : 760.43 = 535.97 : x
  2. Step 2: Convert to fraction form
    551.76/760.43 = 535.97/x
  3. Step 3: Cross multiply
    551.76x = 760.43 × 535.97
  4. Step 4: Simplify right side
    551.76x = 407,563.86
  5. Step 5: Solve for x
    x = 407,563.86/551.76
  6. Step 6: Final answer
    x = 738.66

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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.