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Finding the Fourth Proportional to 921.93, 1,379.66 and 703.77

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Solution

The fourth proportional to 921.93, 1,379.66 and 703.77 is: 1,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.93 : 1,379.66 = 703.77 : x
  2. Step 2: Convert to fraction form
    921.93/1,379.66 = 703.77/x
  3. Step 3: Cross multiply
    921.93x = 1,379.66 × 703.77
  4. Step 4: Simplify right side
    921.93x = 970,959.80
  5. Step 5: Solve for x
    x = 970,959.80/921.93
  6. Step 6: Final answer
    x = 1,053.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.