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Finding the Fourth Proportional to 1,269.68, 1,903.72 and 611.32

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Solution

The fourth proportional to 1,269.68, 1,903.72 and 611.32 is: 916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.68 : 1,903.72 = 611.32 : x
  2. Step 2: Convert to fraction form
    1,269.68/1,903.72 = 611.32/x
  3. Step 3: Cross multiply
    1,269.68x = 1,903.72 × 611.32
  4. Step 4: Simplify right side
    1,269.68x = 1,163,782.11
  5. Step 5: Solve for x
    x = 1,163,782.11/1,269.68
  6. Step 6: Final answer
    x = 916.59

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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.