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Finding the Fourth Proportional to 989.63, 1,484.33 and 296.11

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Solution

The fourth proportional to 989.63, 1,484.33 and 296.11 is: 444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.63 : 1,484.33 = 296.11 : x
  2. Step 2: Convert to fraction form
    989.63/1,484.33 = 296.11/x
  3. Step 3: Cross multiply
    989.63x = 1,484.33 × 296.11
  4. Step 4: Simplify right side
    989.63x = 439,525.33
  5. Step 5: Solve for x
    x = 439,525.33/989.63
  6. Step 6: Final answer
    x = 444.13

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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.