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Finding the Fourth Proportional to 989.46, 1,484.61 and 578.60

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Solution

The fourth proportional to 989.46, 1,484.61 and 578.60 is: 868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.46 : 1,484.61 = 578.60 : x
  2. Step 2: Convert to fraction form
    989.46/1,484.61 = 578.60/x
  3. Step 3: Cross multiply
    989.46x = 1,484.61 × 578.60
  4. Step 4: Simplify right side
    989.46x = 858,987.92
  5. Step 5: Solve for x
    x = 858,987.92/989.46
  6. Step 6: Final answer
    x = 868.14

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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.