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Finding the Fourth Proportional to 612.24, 917.96 and 338.46

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Solution

The fourth proportional to 612.24, 917.96 and 338.46 is: 507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.24 : 917.96 = 338.46 : x
  2. Step 2: Convert to fraction form
    612.24/917.96 = 338.46/x
  3. Step 3: Cross multiply
    612.24x = 917.96 × 338.46
  4. Step 4: Simplify right side
    612.24x = 310,691.05
  5. Step 5: Solve for x
    x = 310,691.05/612.24
  6. Step 6: Final answer
    x = 507.47

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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.