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Finding the Fourth Proportional to 580.28, 800.62 and 449.06

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Solution

The fourth proportional to 580.28, 800.62 and 449.06 is: 619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.28 : 800.62 = 449.06 : x
  2. Step 2: Convert to fraction form
    580.28/800.62 = 449.06/x
  3. Step 3: Cross multiply
    580.28x = 800.62 × 449.06
  4. Step 4: Simplify right side
    580.28x = 359,521.29
  5. Step 5: Solve for x
    x = 359,521.29/580.28
  6. Step 6: Final answer
    x = 619.57

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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.