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Finding the Fourth Proportional to 686.83, 1,027.82 and 652.81

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Solution

The fourth proportional to 686.83, 1,027.82 and 652.81 is: 976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.83 : 1,027.82 = 652.81 : x
  2. Step 2: Convert to fraction form
    686.83/1,027.82 = 652.81/x
  3. Step 3: Cross multiply
    686.83x = 1,027.82 × 652.81
  4. Step 4: Simplify right side
    686.83x = 670,967.91
  5. Step 5: Solve for x
    x = 670,967.91/686.83
  6. Step 6: Final answer
    x = 976.91

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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.