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Finding the Fourth Proportional to 561.15, 770.78 and 462.69

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Solution

The fourth proportional to 561.15, 770.78 and 462.69 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.15 : 770.78 = 462.69 : x
  2. Step 2: Convert to fraction form
    561.15/770.78 = 462.69/x
  3. Step 3: Cross multiply
    561.15x = 770.78 × 462.69
  4. Step 4: Simplify right side
    561.15x = 356,633.35
  5. Step 5: Solve for x
    x = 356,633.35/561.15
  6. Step 6: Final answer
    x = 635.54

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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.