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Finding the Fourth Proportional to 536.30, 800.57 and 496.22

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Solution

The fourth proportional to 536.30, 800.57 and 496.22 is: 740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.30 : 800.57 = 496.22 : x
  2. Step 2: Convert to fraction form
    536.30/800.57 = 496.22/x
  3. Step 3: Cross multiply
    536.30x = 800.57 × 496.22
  4. Step 4: Simplify right side
    536.30x = 397,258.85
  5. Step 5: Solve for x
    x = 397,258.85/536.30
  6. Step 6: Final answer
    x = 740.74

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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.