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Finding the Fourth Proportional to 561.03, 769.70 and 546.66

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Solution

The fourth proportional to 561.03, 769.70 and 546.66 is: 749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.03 : 769.70 = 546.66 : x
  2. Step 2: Convert to fraction form
    561.03/769.70 = 546.66/x
  3. Step 3: Cross multiply
    561.03x = 769.70 × 546.66
  4. Step 4: Simplify right side
    561.03x = 420,761.47
  5. Step 5: Solve for x
    x = 420,761.47/561.03
  6. Step 6: Final answer
    x = 749.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.