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Finding the Fourth Proportional to 484.61, 722.90 and 438.44

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Solution

The fourth proportional to 484.61, 722.90 and 438.44 is: 654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.61 : 722.90 = 438.44 : x
  2. Step 2: Convert to fraction form
    484.61/722.90 = 438.44/x
  3. Step 3: Cross multiply
    484.61x = 722.90 × 438.44
  4. Step 4: Simplify right side
    484.61x = 316,946.08
  5. Step 5: Solve for x
    x = 316,946.08/484.61
  6. Step 6: Final answer
    x = 654.02

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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.