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Finding the Fourth Proportional to 561.45, 775.76 and 541.74

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Solution

The fourth proportional to 561.45, 775.76 and 541.74 is: 748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.45 : 775.76 = 541.74 : x
  2. Step 2: Convert to fraction form
    561.45/775.76 = 541.74/x
  3. Step 3: Cross multiply
    561.45x = 775.76 × 541.74
  4. Step 4: Simplify right side
    561.45x = 420,260.22
  5. Step 5: Solve for x
    x = 420,260.22/561.45
  6. Step 6: Final answer
    x = 748.53

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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.