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Finding the Fourth Proportional to 686.18, 1,029.50 and 455.98

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Solution

The fourth proportional to 686.18, 1,029.50 and 455.98 is: 684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.18 : 1,029.50 = 455.98 : x
  2. Step 2: Convert to fraction form
    686.18/1,029.50 = 455.98/x
  3. Step 3: Cross multiply
    686.18x = 1,029.50 × 455.98
  4. Step 4: Simplify right side
    686.18x = 469,431.41
  5. Step 5: Solve for x
    x = 469,431.41/686.18
  6. Step 6: Final answer
    x = 684.12

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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.