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Finding the Fourth Proportional to 551.90, 824.01 and 483.86

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Solution

The fourth proportional to 551.90, 824.01 and 483.86 is: 722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 824.01 = 483.86 : x
  2. Step 2: Convert to fraction form
    551.90/824.01 = 483.86/x
  3. Step 3: Cross multiply
    551.90x = 824.01 × 483.86
  4. Step 4: Simplify right side
    551.90x = 398,705.48
  5. Step 5: Solve for x
    x = 398,705.48/551.90
  6. Step 6: Final answer
    x = 722.42

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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.