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Finding the Fourth Proportional to 536.08, 736.28 and 477.76

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Solution

The fourth proportional to 536.08, 736.28 and 477.76 is: 656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.08 : 736.28 = 477.76 : x
  2. Step 2: Convert to fraction form
    536.08/736.28 = 477.76/x
  3. Step 3: Cross multiply
    536.08x = 736.28 × 477.76
  4. Step 4: Simplify right side
    536.08x = 351,765.13
  5. Step 5: Solve for x
    x = 351,765.13/536.08
  6. Step 6: Final answer
    x = 656.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.