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Finding the Fourth Proportional to 550.68, 820.07 and 527.00

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Solution

The fourth proportional to 550.68, 820.07 and 527.00 is: 784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.68 : 820.07 = 527.00 : x
  2. Step 2: Convert to fraction form
    550.68/820.07 = 527.00/x
  3. Step 3: Cross multiply
    550.68x = 820.07 × 527.00
  4. Step 4: Simplify right side
    550.68x = 432,170.15
  5. Step 5: Solve for x
    x = 432,170.15/550.68
  6. Step 6: Final answer
    x = 784.79

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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.