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Finding the Fourth Proportional to 686.02, 946.47 and 452.74

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Solution

The fourth proportional to 686.02, 946.47 and 452.74 is: 624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.02 : 946.47 = 452.74 : x
  2. Step 2: Convert to fraction form
    686.02/946.47 = 452.74/x
  3. Step 3: Cross multiply
    686.02x = 946.47 × 452.74
  4. Step 4: Simplify right side
    686.02x = 428,504.83
  5. Step 5: Solve for x
    x = 428,504.83/686.02
  6. Step 6: Final answer
    x = 624.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.