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Finding the Fourth Proportional to 926.42, 1,276.91 and 704.99

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Solution

The fourth proportional to 926.42, 1,276.91 and 704.99 is: 971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.42 : 1,276.91 = 704.99 : x
  2. Step 2: Convert to fraction form
    926.42/1,276.91 = 704.99/x
  3. Step 3: Cross multiply
    926.42x = 1,276.91 × 704.99
  4. Step 4: Simplify right side
    926.42x = 900,198.87
  5. Step 5: Solve for x
    x = 900,198.87/926.42
  6. Step 6: Final answer
    x = 971.70

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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.