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Finding the Fourth Proportional to 900.47, 1,243.46 and 640.19

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Solution

The fourth proportional to 900.47, 1,243.46 and 640.19 is: 884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.47 : 1,243.46 = 640.19 : x
  2. Step 2: Convert to fraction form
    900.47/1,243.46 = 640.19/x
  3. Step 3: Cross multiply
    900.47x = 1,243.46 × 640.19
  4. Step 4: Simplify right side
    900.47x = 796,055.37
  5. Step 5: Solve for x
    x = 796,055.37/900.47
  6. Step 6: Final answer
    x = 884.04

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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.