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Finding the Fourth Proportional to 460.56, 687.84 and 363.36

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Solution

The fourth proportional to 460.56, 687.84 and 363.36 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 687.84 = 363.36 : x
  2. Step 2: Convert to fraction form
    460.56/687.84 = 363.36/x
  3. Step 3: Cross multiply
    460.56x = 687.84 × 363.36
  4. Step 4: Simplify right side
    460.56x = 249,933.54
  5. Step 5: Solve for x
    x = 249,933.54/460.56
  6. Step 6: Final answer
    x = 542.67

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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.