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Finding the Fourth Proportional to 858.96, 1,293.47 and 617.17

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Solution

The fourth proportional to 858.96, 1,293.47 and 617.17 is: 929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.96 : 1,293.47 = 617.17 : x
  2. Step 2: Convert to fraction form
    858.96/1,293.47 = 617.17/x
  3. Step 3: Cross multiply
    858.96x = 1,293.47 × 617.17
  4. Step 4: Simplify right side
    858.96x = 798,290.88
  5. Step 5: Solve for x
    x = 798,290.88/858.96
  6. Step 6: Final answer
    x = 929.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.