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Finding the Fourth Proportional to 2,963.35, 4,445.28 and 772.07

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Solution

The fourth proportional to 2,963.35, 4,445.28 and 772.07 is: 1,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.35 : 4,445.28 = 772.07 : x
  2. Step 2: Convert to fraction form
    2,963.35/4,445.28 = 772.07/x
  3. Step 3: Cross multiply
    2,963.35x = 4,445.28 × 772.07
  4. Step 4: Simplify right side
    2,963.35x = 3,432,063.47
  5. Step 5: Solve for x
    x = 3,432,063.47/2,963.35
  6. Step 6: Final answer
    x = 1,158.17

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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.