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Finding the Fourth Proportional to 746.14, 1,027.29 and 647.86

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Solution

The fourth proportional to 746.14, 1,027.29 and 647.86 is: 891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.14 : 1,027.29 = 647.86 : x
  2. Step 2: Convert to fraction form
    746.14/1,027.29 = 647.86/x
  3. Step 3: Cross multiply
    746.14x = 1,027.29 × 647.86
  4. Step 4: Simplify right side
    746.14x = 665,540.10
  5. Step 5: Solve for x
    x = 665,540.10/746.14
  6. Step 6: Final answer
    x = 891.98

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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.