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Finding the Fourth Proportional to 959.16, 1,322.82 and 711.12

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Solution

The fourth proportional to 959.16, 1,322.82 and 711.12 is: 980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.16 : 1,322.82 = 711.12 : x
  2. Step 2: Convert to fraction form
    959.16/1,322.82 = 711.12/x
  3. Step 3: Cross multiply
    959.16x = 1,322.82 × 711.12
  4. Step 4: Simplify right side
    959.16x = 940,683.76
  5. Step 5: Solve for x
    x = 940,683.76/959.16
  6. Step 6: Final answer
    x = 980.74

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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.