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Finding the Fourth Proportional to 612.96, 920.52 and 532.56

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Solution

The fourth proportional to 612.96, 920.52 and 532.56 is: 799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.96 : 920.52 = 532.56 : x
  2. Step 2: Convert to fraction form
    612.96/920.52 = 532.56/x
  3. Step 3: Cross multiply
    612.96x = 920.52 × 532.56
  4. Step 4: Simplify right side
    612.96x = 490,232.13
  5. Step 5: Solve for x
    x = 490,232.13/612.96
  6. Step 6: Final answer
    x = 799.78

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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.