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Finding the Fourth Proportional to 1,048.91, 1,573.81 and 433.06

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Solution

The fourth proportional to 1,048.91, 1,573.81 and 433.06 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.91 : 1,573.81 = 433.06 : x
  2. Step 2: Convert to fraction form
    1,048.91/1,573.81 = 433.06/x
  3. Step 3: Cross multiply
    1,048.91x = 1,573.81 × 433.06
  4. Step 4: Simplify right side
    1,048.91x = 681,549.14
  5. Step 5: Solve for x
    x = 681,549.14/1,048.91
  6. Step 6: Final answer
    x = 649.77

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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.