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Finding the Fourth Proportional to 536.12, 798.76 and 503

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Solution

The fourth proportional to 536.12, 798.76 and 503 is: 749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.12 : 798.76 = 503 : x
  2. Step 2: Convert to fraction form
    536.12/798.76 = 503/x
  3. Step 3: Cross multiply
    536.12x = 798.76 × 503
  4. Step 4: Simplify right side
    536.12x = 401,776.28
  5. Step 5: Solve for x
    x = 401,776.28/536.12
  6. Step 6: Final answer
    x = 749.41

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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.