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Finding the Fourth Proportional to 637.48, 949.64 and 597.64

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Solution

The fourth proportional to 637.48, 949.64 and 597.64 is: 890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.48 : 949.64 = 597.64 : x
  2. Step 2: Convert to fraction form
    637.48/949.64 = 597.64/x
  3. Step 3: Cross multiply
    637.48x = 949.64 × 597.64
  4. Step 4: Simplify right side
    637.48x = 567,542.85
  5. Step 5: Solve for x
    x = 567,542.85/637.48
  6. Step 6: Final answer
    x = 890.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.