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Finding the Fourth Proportional to 976.20, 1,348.42 and 790.92

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Solution

The fourth proportional to 976.20, 1,348.42 and 790.92 is: 1,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.20 : 1,348.42 = 790.92 : x
  2. Step 2: Convert to fraction form
    976.20/1,348.42 = 790.92/x
  3. Step 3: Cross multiply
    976.20x = 1,348.42 × 790.92
  4. Step 4: Simplify right side
    976.20x = 1,066,492.35
  5. Step 5: Solve for x
    x = 1,066,492.35/976.20
  6. Step 6: Final answer
    x = 1,092.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.