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Finding the Fourth Proportional to 1,239.60, 1,855.75 and 916.41

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Solution

The fourth proportional to 1,239.60, 1,855.75 and 916.41 is: 1,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.60 : 1,855.75 = 916.41 : x
  2. Step 2: Convert to fraction form
    1,239.60/1,855.75 = 916.41/x
  3. Step 3: Cross multiply
    1,239.60x = 1,855.75 × 916.41
  4. Step 4: Simplify right side
    1,239.60x = 1,700,627.86
  5. Step 5: Solve for x
    x = 1,700,627.86/1,239.60
  6. Step 6: Final answer
    x = 1,371.92

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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.