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Finding the Fourth Proportional to 989.76, 1,476.48 and 967.68

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Solution

The fourth proportional to 989.76, 1,476.48 and 967.68 is: 1,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.76 : 1,476.48 = 967.68 : x
  2. Step 2: Convert to fraction form
    989.76/1,476.48 = 967.68/x
  3. Step 3: Cross multiply
    989.76x = 1,476.48 × 967.68
  4. Step 4: Simplify right side
    989.76x = 1,428,760.17
  5. Step 5: Solve for x
    x = 1,428,760.17/989.76
  6. Step 6: Final answer
    x = 1,443.54

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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.