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Finding the Fourth Proportional to 997.46, 1,495.28 and 420.38

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Solution

The fourth proportional to 997.46, 1,495.28 and 420.38 is: 630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.46 : 1,495.28 = 420.38 : x
  2. Step 2: Convert to fraction form
    997.46/1,495.28 = 420.38/x
  3. Step 3: Cross multiply
    997.46x = 1,495.28 × 420.38
  4. Step 4: Simplify right side
    997.46x = 628,585.81
  5. Step 5: Solve for x
    x = 628,585.81/997.46
  6. Step 6: Final answer
    x = 630.19

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1.5x scale

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.