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Finding the Fourth Proportional to 926.29, 1,277.72 and 704.85

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Solution

The fourth proportional to 926.29, 1,277.72 and 704.85 is: 972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.29 : 1,277.72 = 704.85 : x
  2. Step 2: Convert to fraction form
    926.29/1,277.72 = 704.85/x
  3. Step 3: Cross multiply
    926.29x = 1,277.72 × 704.85
  4. Step 4: Simplify right side
    926.29x = 900,606.42
  5. Step 5: Solve for x
    x = 900,606.42/926.29
  6. Step 6: Final answer
    x = 972.28

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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.