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Finding the Fourth Proportional to 959.26, 1,441.63 and 472.65

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Solution

The fourth proportional to 959.26, 1,441.63 and 472.65 is: 710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.26 : 1,441.63 = 472.65 : x
  2. Step 2: Convert to fraction form
    959.26/1,441.63 = 472.65/x
  3. Step 3: Cross multiply
    959.26x = 1,441.63 × 472.65
  4. Step 4: Simplify right side
    959.26x = 681,386.42
  5. Step 5: Solve for x
    x = 681,386.42/959.26
  6. Step 6: Final answer
    x = 710.33

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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.