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Finding the Fourth Proportional to 527.00, 790.79 and 321.71

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Solution

The fourth proportional to 527.00, 790.79 and 321.71 is: 482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.00 : 790.79 = 321.71 : x
  2. Step 2: Convert to fraction form
    527.00/790.79 = 321.71/x
  3. Step 3: Cross multiply
    527.00x = 790.79 × 321.71
  4. Step 4: Simplify right side
    527.00x = 254,399.49
  5. Step 5: Solve for x
    x = 254,399.49/527.00
  6. Step 6: Final answer
    x = 482.74

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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.