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Finding the Fourth Proportional to 1,049.06, 1,573.50 and 433.10

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Solution

The fourth proportional to 1,049.06, 1,573.50 and 433.10 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.06 : 1,573.50 = 433.10 : x
  2. Step 2: Convert to fraction form
    1,049.06/1,573.50 = 433.10/x
  3. Step 3: Cross multiply
    1,049.06x = 1,573.50 × 433.10
  4. Step 4: Simplify right side
    1,049.06x = 681,482.85
  5. Step 5: Solve for x
    x = 681,482.85/1,049.06
  6. Step 6: Final answer
    x = 649.61

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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.