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Finding the Fourth Proportional to 614.75, 920.36 and 575.96

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Solution

The fourth proportional to 614.75, 920.36 and 575.96 is: 862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 920.36 = 575.96 : x
  2. Step 2: Convert to fraction form
    614.75/920.36 = 575.96/x
  3. Step 3: Cross multiply
    614.75x = 920.36 × 575.96
  4. Step 4: Simplify right side
    614.75x = 530,083.06
  5. Step 5: Solve for x
    x = 530,083.06/614.75
  6. Step 6: Final answer
    x = 862.28

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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.