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Finding the Fourth Proportional to 701.83, 1,053.21 and 377.42

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Solution

The fourth proportional to 701.83, 1,053.21 and 377.42 is: 566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.83 : 1,053.21 = 377.42 : x
  2. Step 2: Convert to fraction form
    701.83/1,053.21 = 377.42/x
  3. Step 3: Cross multiply
    701.83x = 1,053.21 × 377.42
  4. Step 4: Simplify right side
    701.83x = 397,502.52
  5. Step 5: Solve for x
    x = 397,502.52/701.83
  6. Step 6: Final answer
    x = 566.38

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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.