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Finding the Fourth Proportional to 685.24, 946.29 and 452.50

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Solution

The fourth proportional to 685.24, 946.29 and 452.50 is: 624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.24 : 946.29 = 452.50 : x
  2. Step 2: Convert to fraction form
    685.24/946.29 = 452.50/x
  3. Step 3: Cross multiply
    685.24x = 946.29 × 452.50
  4. Step 4: Simplify right side
    685.24x = 428,196.23
  5. Step 5: Solve for x
    x = 428,196.23/685.24
  6. Step 6: Final answer
    x = 624.89

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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.