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Finding the Fourth Proportional to 561.76, 775.23 and 313.09

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Solution

The fourth proportional to 561.76, 775.23 and 313.09 is: 432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 775.23 = 313.09 : x
  2. Step 2: Convert to fraction form
    561.76/775.23 = 313.09/x
  3. Step 3: Cross multiply
    561.76x = 775.23 × 313.09
  4. Step 4: Simplify right side
    561.76x = 242,716.76
  5. Step 5: Solve for x
    x = 242,716.76/561.76
  6. Step 6: Final answer
    x = 432.06

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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.