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Finding the Fourth Proportional to 976.27, 1,457 and 936.58

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Solution

The fourth proportional to 976.27, 1,457 and 936.58 is: 1,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.27 : 1,457 = 936.58 : x
  2. Step 2: Convert to fraction form
    976.27/1,457 = 936.58/x
  3. Step 3: Cross multiply
    976.27x = 1,457 × 936.58
  4. Step 4: Simplify right side
    976.27x = 1,364,597.06
  5. Step 5: Solve for x
    x = 1,364,597.06/976.27
  6. Step 6: Final answer
    x = 1,397.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.