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Finding the Fourth Proportional to 614.33, 920.56 and 340.50

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Solution

The fourth proportional to 614.33, 920.56 and 340.50 is: 510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.33 : 920.56 = 340.50 : x
  2. Step 2: Convert to fraction form
    614.33/920.56 = 340.50/x
  3. Step 3: Cross multiply
    614.33x = 920.56 × 340.50
  4. Step 4: Simplify right side
    614.33x = 313,450.68
  5. Step 5: Solve for x
    x = 313,450.68/614.33
  6. Step 6: Final answer
    x = 510.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.