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Finding the Fourth Proportional to 1,358.24, 1,873.73 and 861.64

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Solution

The fourth proportional to 1,358.24, 1,873.73 and 861.64 is: 1,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.24 : 1,873.73 = 861.64 : x
  2. Step 2: Convert to fraction form
    1,358.24/1,873.73 = 861.64/x
  3. Step 3: Cross multiply
    1,358.24x = 1,873.73 × 861.64
  4. Step 4: Simplify right side
    1,358.24x = 1,614,478.19
  5. Step 5: Solve for x
    x = 1,614,478.19/1,358.24
  6. Step 6: Final answer
    x = 1,188.66

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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.