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Finding the Fourth Proportional to 869.05, 1,303.77 and 499.03

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Solution

The fourth proportional to 869.05, 1,303.77 and 499.03 is: 748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.05 : 1,303.77 = 499.03 : x
  2. Step 2: Convert to fraction form
    869.05/1,303.77 = 499.03/x
  3. Step 3: Cross multiply
    869.05x = 1,303.77 × 499.03
  4. Step 4: Simplify right side
    869.05x = 650,618.96
  5. Step 5: Solve for x
    x = 650,618.96/869.05
  6. Step 6: Final answer
    x = 748.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.