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Finding the Fourth Proportional to 561.99, 775.58 and 313.34

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Solution

The fourth proportional to 561.99, 775.58 and 313.34 is: 432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.99 : 775.58 = 313.34 : x
  2. Step 2: Convert to fraction form
    561.99/775.58 = 313.34/x
  3. Step 3: Cross multiply
    561.99x = 775.58 × 313.34
  4. Step 4: Simplify right side
    561.99x = 243,014.79
  5. Step 5: Solve for x
    x = 243,014.79/561.99
  6. Step 6: Final answer
    x = 432.42

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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.