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Finding the Fourth Proportional to 989.32, 1,484.34 and 947.92

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Solution

The fourth proportional to 989.32, 1,484.34 and 947.92 is: 1,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.32 : 1,484.34 = 947.92 : x
  2. Step 2: Convert to fraction form
    989.32/1,484.34 = 947.92/x
  3. Step 3: Cross multiply
    989.32x = 1,484.34 × 947.92
  4. Step 4: Simplify right side
    989.32x = 1,407,035.57
  5. Step 5: Solve for x
    x = 1,407,035.57/989.32
  6. Step 6: Final answer
    x = 1,422.22

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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.