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Finding the Fourth Proportional to 997.59, 1,492.11 and 971.04

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Solution

The fourth proportional to 997.59, 1,492.11 and 971.04 is: 1,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.59 : 1,492.11 = 971.04 : x
  2. Step 2: Convert to fraction form
    997.59/1,492.11 = 971.04/x
  3. Step 3: Cross multiply
    997.59x = 1,492.11 × 971.04
  4. Step 4: Simplify right side
    997.59x = 1,448,898.49
  5. Step 5: Solve for x
    x = 1,448,898.49/997.59
  6. Step 6: Final answer
    x = 1,452.40

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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.