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Finding the Fourth Proportional to 976.94, 1,348.36 and 884.06

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Solution

The fourth proportional to 976.94, 1,348.36 and 884.06 is: 1,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.94 : 1,348.36 = 884.06 : x
  2. Step 2: Convert to fraction form
    976.94/1,348.36 = 884.06/x
  3. Step 3: Cross multiply
    976.94x = 1,348.36 × 884.06
  4. Step 4: Simplify right side
    976.94x = 1,192,031.14
  5. Step 5: Solve for x
    x = 1,192,031.14/976.94
  6. Step 6: Final answer
    x = 1,220.17

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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.