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Finding the Fourth Proportional to 989.41, 1,483.62 and 578.65

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Solution

The fourth proportional to 989.41, 1,483.62 and 578.65 is: 867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.41 : 1,483.62 = 578.65 : x
  2. Step 2: Convert to fraction form
    989.41/1,483.62 = 578.65/x
  3. Step 3: Cross multiply
    989.41x = 1,483.62 × 578.65
  4. Step 4: Simplify right side
    989.41x = 858,496.71
  5. Step 5: Solve for x
    x = 858,496.71/989.41
  6. Step 6: Final answer
    x = 867.69

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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.