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Finding the Fourth Proportional to 551.56, 826.80 and 469.48

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Solution

The fourth proportional to 551.56, 826.80 and 469.48 is: 703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.56 : 826.80 = 469.48 : x
  2. Step 2: Convert to fraction form
    551.56/826.80 = 469.48/x
  3. Step 3: Cross multiply
    551.56x = 826.80 × 469.48
  4. Step 4: Simplify right side
    551.56x = 388,166.06
  5. Step 5: Solve for x
    x = 388,166.06/551.56
  6. Step 6: Final answer
    x = 703.76

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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.