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Finding the Fourth Proportional to 561.89, 775.37 and 313.19

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Solution

The fourth proportional to 561.89, 775.37 and 313.19 is: 432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.89 : 775.37 = 313.19 : x
  2. Step 2: Convert to fraction form
    561.89/775.37 = 313.19/x
  3. Step 3: Cross multiply
    561.89x = 775.37 × 313.19
  4. Step 4: Simplify right side
    561.89x = 242,832.69
  5. Step 5: Solve for x
    x = 242,832.69/561.89
  6. Step 6: Final answer
    x = 432.18

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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.