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Finding the Fourth Proportional to 861.94, 1,293.14 and 375.06

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Solution

The fourth proportional to 861.94, 1,293.14 and 375.06 is: 562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.94 : 1,293.14 = 375.06 : x
  2. Step 2: Convert to fraction form
    861.94/1,293.14 = 375.06/x
  3. Step 3: Cross multiply
    861.94x = 1,293.14 × 375.06
  4. Step 4: Simplify right side
    861.94x = 485,005.09
  5. Step 5: Solve for x
    x = 485,005.09/861.94
  6. Step 6: Final answer
    x = 562.69

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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.