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Finding the Fourth Proportional to 772.71, 1,160.68 and 484.35

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Solution

The fourth proportional to 772.71, 1,160.68 and 484.35 is: 727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.71 : 1,160.68 = 484.35 : x
  2. Step 2: Convert to fraction form
    772.71/1,160.68 = 484.35/x
  3. Step 3: Cross multiply
    772.71x = 1,160.68 × 484.35
  4. Step 4: Simplify right side
    772.71x = 562,175.36
  5. Step 5: Solve for x
    x = 562,175.36/772.71
  6. Step 6: Final answer
    x = 727.54

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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.