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Finding the Fourth Proportional to 989.22, 1,482.39 and 715.89

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Solution

The fourth proportional to 989.22, 1,482.39 and 715.89 is: 1,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.22 : 1,482.39 = 715.89 : x
  2. Step 2: Convert to fraction form
    989.22/1,482.39 = 715.89/x
  3. Step 3: Cross multiply
    989.22x = 1,482.39 × 715.89
  4. Step 4: Simplify right side
    989.22x = 1,061,228.18
  5. Step 5: Solve for x
    x = 1,061,228.18/989.22
  6. Step 6: Final answer
    x = 1,072.79

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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.