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Finding the Fourth Proportional to 521.88, 719.69 and 325.35

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Solution

The fourth proportional to 521.88, 719.69 and 325.35 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 719.69 = 325.35 : x
  2. Step 2: Convert to fraction form
    521.88/719.69 = 325.35/x
  3. Step 3: Cross multiply
    521.88x = 719.69 × 325.35
  4. Step 4: Simplify right side
    521.88x = 234,149.51
  5. Step 5: Solve for x
    x = 234,149.51/521.88
  6. Step 6: Final answer
    x = 448.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.