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Finding the Fourth Proportional to 548.80, 816.01 and 526.94

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Solution

The fourth proportional to 548.80, 816.01 and 526.94 is: 783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 816.01 = 526.94 : x
  2. Step 2: Convert to fraction form
    548.80/816.01 = 526.94/x
  3. Step 3: Cross multiply
    548.80x = 816.01 × 526.94
  4. Step 4: Simplify right side
    548.80x = 429,988.31
  5. Step 5: Solve for x
    x = 429,988.31/548.80
  6. Step 6: Final answer
    x = 783.51

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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.