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Finding the Fourth Proportional to 521.68, 781.61 and 366.88

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Solution

The fourth proportional to 521.68, 781.61 and 366.88 is: 549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.68 : 781.61 = 366.88 : x
  2. Step 2: Convert to fraction form
    521.68/781.61 = 366.88/x
  3. Step 3: Cross multiply
    521.68x = 781.61 × 366.88
  4. Step 4: Simplify right side
    521.68x = 286,751.33
  5. Step 5: Solve for x
    x = 286,751.33/521.68
  6. Step 6: Final answer
    x = 549.67

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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.