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Finding the Fourth Proportional to 848.72, 1,273.38 and 613.64

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Solution

The fourth proportional to 848.72, 1,273.38 and 613.64 is: 920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.72 : 1,273.38 = 613.64 : x
  2. Step 2: Convert to fraction form
    848.72/1,273.38 = 613.64/x
  3. Step 3: Cross multiply
    848.72x = 1,273.38 × 613.64
  4. Step 4: Simplify right side
    848.72x = 781,396.90
  5. Step 5: Solve for x
    x = 781,396.90/848.72
  6. Step 6: Final answer
    x = 920.68

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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.