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Finding the Fourth Proportional to 580.48, 800.85 and 406.06

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Solution

The fourth proportional to 580.48, 800.85 and 406.06 is: 560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.48 : 800.85 = 406.06 : x
  2. Step 2: Convert to fraction form
    580.48/800.85 = 406.06/x
  3. Step 3: Cross multiply
    580.48x = 800.85 × 406.06
  4. Step 4: Simplify right side
    580.48x = 325,193.15
  5. Step 5: Solve for x
    x = 325,193.15/580.48
  6. Step 6: Final answer
    x = 560.21

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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.