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Finding the Fourth Proportional to 548.58, 824.22 and 526.98

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Solution

The fourth proportional to 548.58, 824.22 and 526.98 is: 791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.58 : 824.22 = 526.98 : x
  2. Step 2: Convert to fraction form
    548.58/824.22 = 526.98/x
  3. Step 3: Cross multiply
    548.58x = 824.22 × 526.98
  4. Step 4: Simplify right side
    548.58x = 434,347.46
  5. Step 5: Solve for x
    x = 434,347.46/548.58
  6. Step 6: Final answer
    x = 791.77

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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.