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Finding the Fourth Proportional to 1,269.55, 1,904.31 and 345.19

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Solution

The fourth proportional to 1,269.55, 1,904.31 and 345.19 is: 517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.55 : 1,904.31 = 345.19 : x
  2. Step 2: Convert to fraction form
    1,269.55/1,904.31 = 345.19/x
  3. Step 3: Cross multiply
    1,269.55x = 1,904.31 × 345.19
  4. Step 4: Simplify right side
    1,269.55x = 657,348.77
  5. Step 5: Solve for x
    x = 657,348.77/1,269.55
  6. Step 6: Final answer
    x = 517.78

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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.