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Finding the Fourth Proportional to 927.64, 1,277.22 and 705.88

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Solution

The fourth proportional to 927.64, 1,277.22 and 705.88 is: 971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.64 : 1,277.22 = 705.88 : x
  2. Step 2: Convert to fraction form
    927.64/1,277.22 = 705.88/x
  3. Step 3: Cross multiply
    927.64x = 1,277.22 × 705.88
  4. Step 4: Simplify right side
    927.64x = 901,564.05
  5. Step 5: Solve for x
    x = 901,564.05/927.64
  6. Step 6: Final answer
    x = 971.89

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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.