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Finding the Fourth Proportional to 989.19, 1,483.79 and 412.07

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Solution

The fourth proportional to 989.19, 1,483.79 and 412.07 is: 618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.19 : 1,483.79 = 412.07 : x
  2. Step 2: Convert to fraction form
    989.19/1,483.79 = 412.07/x
  3. Step 3: Cross multiply
    989.19x = 1,483.79 × 412.07
  4. Step 4: Simplify right side
    989.19x = 611,425.35
  5. Step 5: Solve for x
    x = 611,425.35/989.19
  6. Step 6: Final answer
    x = 618.11

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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.