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Finding the Fourth Proportional to 959.17, 1,441.49 and 472.56

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Solution

The fourth proportional to 959.17, 1,441.49 and 472.56 is: 710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.17 : 1,441.49 = 472.56 : x
  2. Step 2: Convert to fraction form
    959.17/1,441.49 = 472.56/x
  3. Step 3: Cross multiply
    959.17x = 1,441.49 × 472.56
  4. Step 4: Simplify right side
    959.17x = 681,190.51
  5. Step 5: Solve for x
    x = 681,190.51/959.17
  6. Step 6: Final answer
    x = 710.19

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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.