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Finding the Fourth Proportional to 772.17, 1,066.26 and 607.13

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Solution

The fourth proportional to 772.17, 1,066.26 and 607.13 is: 838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.17 : 1,066.26 = 607.13 : x
  2. Step 2: Convert to fraction form
    772.17/1,066.26 = 607.13/x
  3. Step 3: Cross multiply
    772.17x = 1,066.26 × 607.13
  4. Step 4: Simplify right side
    772.17x = 647,353.10
  5. Step 5: Solve for x
    x = 647,353.10/772.17
  6. Step 6: Final answer
    x = 838.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.