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Finding the Fourth Proportional to 997.35, 1,492.93 and 849.72

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Solution

The fourth proportional to 997.35, 1,492.93 and 849.72 is: 1,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.35 : 1,492.93 = 849.72 : x
  2. Step 2: Convert to fraction form
    997.35/1,492.93 = 849.72/x
  3. Step 3: Cross multiply
    997.35x = 1,492.93 × 849.72
  4. Step 4: Simplify right side
    997.35x = 1,268,572.48
  5. Step 5: Solve for x
    x = 1,268,572.48/997.35
  6. Step 6: Final answer
    x = 1,271.94

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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.