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Finding the Fourth Proportional to 561.79, 775.36 and 340.81

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Solution

The fourth proportional to 561.79, 775.36 and 340.81 is: 470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.79 : 775.36 = 340.81 : x
  2. Step 2: Convert to fraction form
    561.79/775.36 = 340.81/x
  3. Step 3: Cross multiply
    561.79x = 775.36 × 340.81
  4. Step 4: Simplify right side
    561.79x = 264,248.45
  5. Step 5: Solve for x
    x = 264,248.45/561.79
  6. Step 6: Final answer
    x = 470.37

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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.