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Finding the Fourth Proportional to 991.76, 1,479.46 and 969.68

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Solution

The fourth proportional to 991.76, 1,479.46 and 969.68 is: 1,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.76 : 1,479.46 = 969.68 : x
  2. Step 2: Convert to fraction form
    991.76/1,479.46 = 969.68/x
  3. Step 3: Cross multiply
    991.76x = 1,479.46 × 969.68
  4. Step 4: Simplify right side
    991.76x = 1,434,602.77
  5. Step 5: Solve for x
    x = 1,434,602.77/991.76
  6. Step 6: Final answer
    x = 1,446.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.