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Finding the Fourth Proportional to 686.46, 1,028.73 and 594.93

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Solution

The fourth proportional to 686.46, 1,028.73 and 594.93 is: 891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.46 : 1,028.73 = 594.93 : x
  2. Step 2: Convert to fraction form
    686.46/1,028.73 = 594.93/x
  3. Step 3: Cross multiply
    686.46x = 1,028.73 × 594.93
  4. Step 4: Simplify right side
    686.46x = 612,022.34
  5. Step 5: Solve for x
    x = 612,022.34/686.46
  6. Step 6: Final answer
    x = 891.56

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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.