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Finding the Fourth Proportional to 982.65, 1,465.70 and 914.61

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Solution

The fourth proportional to 982.65, 1,465.70 and 914.61 is: 1,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.65 : 1,465.70 = 914.61 : x
  2. Step 2: Convert to fraction form
    982.65/1,465.70 = 914.61/x
  3. Step 3: Cross multiply
    982.65x = 1,465.70 × 914.61
  4. Step 4: Simplify right side
    982.65x = 1,340,539.30
  5. Step 5: Solve for x
    x = 1,340,539.30/982.65
  6. Step 6: Final answer
    x = 1,364.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.