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Finding the Fourth Proportional to 637.09, 954.71 and 362.60

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Solution

The fourth proportional to 637.09, 954.71 and 362.60 is: 543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.09 : 954.71 = 362.60 : x
  2. Step 2: Convert to fraction form
    637.09/954.71 = 362.60/x
  3. Step 3: Cross multiply
    637.09x = 954.71 × 362.60
  4. Step 4: Simplify right side
    637.09x = 346,177.85
  5. Step 5: Solve for x
    x = 346,177.85/637.09
  6. Step 6: Final answer
    x = 543.37

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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.