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Finding the Fourth Proportional to 536.32, 738.42 and 487.72

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Solution

The fourth proportional to 536.32, 738.42 and 487.72 is: 671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.32 : 738.42 = 487.72 : x
  2. Step 2: Convert to fraction form
    536.32/738.42 = 487.72/x
  3. Step 3: Cross multiply
    536.32x = 738.42 × 487.72
  4. Step 4: Simplify right side
    536.32x = 360,142.20
  5. Step 5: Solve for x
    x = 360,142.20/536.32
  6. Step 6: Final answer
    x = 671.51

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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.