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Finding the Fourth Proportional to 686.63, 1,029.98 and 414.47

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Solution

The fourth proportional to 686.63, 1,029.98 and 414.47 is: 621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.63 : 1,029.98 = 414.47 : x
  2. Step 2: Convert to fraction form
    686.63/1,029.98 = 414.47/x
  3. Step 3: Cross multiply
    686.63x = 1,029.98 × 414.47
  4. Step 4: Simplify right side
    686.63x = 426,895.81
  5. Step 5: Solve for x
    x = 426,895.81/686.63
  6. Step 6: Final answer
    x = 621.73

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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.