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Finding the Fourth Proportional to 561.75, 775.25 and 313.10

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Solution

The fourth proportional to 561.75, 775.25 and 313.10 is: 432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.75 : 775.25 = 313.10 : x
  2. Step 2: Convert to fraction form
    561.75/775.25 = 313.10/x
  3. Step 3: Cross multiply
    561.75x = 775.25 × 313.10
  4. Step 4: Simplify right side
    561.75x = 242,725.33
  5. Step 5: Solve for x
    x = 242,725.33/561.75
  6. Step 6: Final answer
    x = 432.09

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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.