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Finding the Fourth Proportional to 1,269.03, 1,902.03 and 575.87

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Solution

The fourth proportional to 1,269.03, 1,902.03 and 575.87 is: 863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.03 : 1,902.03 = 575.87 : x
  2. Step 2: Convert to fraction form
    1,269.03/1,902.03 = 575.87/x
  3. Step 3: Cross multiply
    1,269.03x = 1,902.03 × 575.87
  4. Step 4: Simplify right side
    1,269.03x = 1,095,322.02
  5. Step 5: Solve for x
    x = 1,095,322.02/1,269.03
  6. Step 6: Final answer
    x = 863.12

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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.