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Finding the Fourth Proportional to 484.32, 722.52 and 442.44

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Solution

The fourth proportional to 484.32, 722.52 and 442.44 is: 660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.32 : 722.52 = 442.44 : x
  2. Step 2: Convert to fraction form
    484.32/722.52 = 442.44/x
  3. Step 3: Cross multiply
    484.32x = 722.52 × 442.44
  4. Step 4: Simplify right side
    484.32x = 319,671.75
  5. Step 5: Solve for x
    x = 319,671.75/484.32
  6. Step 6: Final answer
    x = 660.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.