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Finding the Fourth Proportional to 1,475.80, 2,036.61 and 812.62

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Solution

The fourth proportional to 1,475.80, 2,036.61 and 812.62 is: 1,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.80 : 2,036.61 = 812.62 : x
  2. Step 2: Convert to fraction form
    1,475.80/2,036.61 = 812.62/x
  3. Step 3: Cross multiply
    1,475.80x = 2,036.61 × 812.62
  4. Step 4: Simplify right side
    1,475.80x = 1,654,990.02
  5. Step 5: Solve for x
    x = 1,654,990.02/1,475.80
  6. Step 6: Final answer
    x = 1,121.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.