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Finding the Fourth Proportional to 818.27, 1,126.74 and 705.28

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Solution

The fourth proportional to 818.27, 1,126.74 and 705.28 is: 971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.27 : 1,126.74 = 705.28 : x
  2. Step 2: Convert to fraction form
    818.27/1,126.74 = 705.28/x
  3. Step 3: Cross multiply
    818.27x = 1,126.74 × 705.28
  4. Step 4: Simplify right side
    818.27x = 794,661.55
  5. Step 5: Solve for x
    x = 794,661.55/818.27
  6. Step 6: Final answer
    x = 971.15

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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.