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Finding the Fourth Proportional to 561.70, 774.93 and 340.57

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Solution

The fourth proportional to 561.70, 774.93 and 340.57 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.70 : 774.93 = 340.57 : x
  2. Step 2: Convert to fraction form
    561.70/774.93 = 340.57/x
  3. Step 3: Cross multiply
    561.70x = 774.93 × 340.57
  4. Step 4: Simplify right side
    561.70x = 263,917.91
  5. Step 5: Solve for x
    x = 263,917.91/561.70
  6. Step 6: Final answer
    x = 469.86

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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.