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Finding the Fourth Proportional to 686.67, 1,030.27 and 412.96

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Solution

The fourth proportional to 686.67, 1,030.27 and 412.96 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.67 : 1,030.27 = 412.96 : x
  2. Step 2: Convert to fraction form
    686.67/1,030.27 = 412.96/x
  3. Step 3: Cross multiply
    686.67x = 1,030.27 × 412.96
  4. Step 4: Simplify right side
    686.67x = 425,454.12
  5. Step 5: Solve for x
    x = 425,454.12/686.67
  6. Step 6: Final answer
    x = 619.59

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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.