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Finding the Fourth Proportional to 701.29, 1,051.71 and 393.07

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Solution

The fourth proportional to 701.29, 1,051.71 and 393.07 is: 589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.29 : 1,051.71 = 393.07 : x
  2. Step 2: Convert to fraction form
    701.29/1,051.71 = 393.07/x
  3. Step 3: Cross multiply
    701.29x = 1,051.71 × 393.07
  4. Step 4: Simplify right side
    701.29x = 413,395.65
  5. Step 5: Solve for x
    x = 413,395.65/701.29
  6. Step 6: Final answer
    x = 589.48

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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.