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Finding the Fourth Proportional to 580.06, 800.19 and 393.49

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Solution

The fourth proportional to 580.06, 800.19 and 393.49 is: 542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.06 : 800.19 = 393.49 : x
  2. Step 2: Convert to fraction form
    580.06/800.19 = 393.49/x
  3. Step 3: Cross multiply
    580.06x = 800.19 × 393.49
  4. Step 4: Simplify right side
    580.06x = 314,866.76
  5. Step 5: Solve for x
    x = 314,866.76/580.06
  6. Step 6: Final answer
    x = 542.82

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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.