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Finding the Fourth Proportional to 959.10, 1,322.85 and 710.43

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Solution

The fourth proportional to 959.10, 1,322.85 and 710.43 is: 979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.10 : 1,322.85 = 710.43 : x
  2. Step 2: Convert to fraction form
    959.10/1,322.85 = 710.43/x
  3. Step 3: Cross multiply
    959.10x = 1,322.85 × 710.43
  4. Step 4: Simplify right side
    959.10x = 939,792.33
  5. Step 5: Solve for x
    x = 939,792.33/959.10
  6. Step 6: Final answer
    x = 979.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.