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Finding the Fourth Proportional to 663.02, 994.53 and 420.02

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Solution

The fourth proportional to 663.02, 994.53 and 420.02 is: 630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 994.53 = 420.02 : x
  2. Step 2: Convert to fraction form
    663.02/994.53 = 420.02/x
  3. Step 3: Cross multiply
    663.02x = 994.53 × 420.02
  4. Step 4: Simplify right side
    663.02x = 417,722.49
  5. Step 5: Solve for x
    x = 417,722.49/663.02
  6. Step 6: Final answer
    x = 630.03

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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.