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Finding the Fourth Proportional to 580.04, 800.30 and 393.80

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Solution

The fourth proportional to 580.04, 800.30 and 393.80 is: 543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.04 : 800.30 = 393.80 : x
  2. Step 2: Convert to fraction form
    580.04/800.30 = 393.80/x
  3. Step 3: Cross multiply
    580.04x = 800.30 × 393.80
  4. Step 4: Simplify right side
    580.04x = 315,158.14
  5. Step 5: Solve for x
    x = 315,158.14/580.04
  6. Step 6: Final answer
    x = 543.34

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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.