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Finding the Fourth Proportional to 971.53, 1,458.77 and 856.94

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Solution

The fourth proportional to 971.53, 1,458.77 and 856.94 is: 1,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.53 : 1,458.77 = 856.94 : x
  2. Step 2: Convert to fraction form
    971.53/1,458.77 = 856.94/x
  3. Step 3: Cross multiply
    971.53x = 1,458.77 × 856.94
  4. Step 4: Simplify right side
    971.53x = 1,250,078.36
  5. Step 5: Solve for x
    x = 1,250,078.36/971.53
  6. Step 6: Final answer
    x = 1,286.71

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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.