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Finding the Fourth Proportional to 1,048.07, 1,446.50 and 649.81

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Solution

The fourth proportional to 1,048.07, 1,446.50 and 649.81 is: 896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.07 : 1,446.50 = 649.81 : x
  2. Step 2: Convert to fraction form
    1,048.07/1,446.50 = 649.81/x
  3. Step 3: Cross multiply
    1,048.07x = 1,446.50 × 649.81
  4. Step 4: Simplify right side
    1,048.07x = 939,945.46
  5. Step 5: Solve for x
    x = 939,945.46/1,048.07
  6. Step 6: Final answer
    x = 896.83

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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.