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Finding the Fourth Proportional to 521.32, 777.56 and 439.59

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Solution

The fourth proportional to 521.32, 777.56 and 439.59 is: 655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.32 : 777.56 = 439.59 : x
  2. Step 2: Convert to fraction form
    521.32/777.56 = 439.59/x
  3. Step 3: Cross multiply
    521.32x = 777.56 × 439.59
  4. Step 4: Simplify right side
    521.32x = 341,809.97
  5. Step 5: Solve for x
    x = 341,809.97/521.32
  6. Step 6: Final answer
    x = 655.67

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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.