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Finding the Fourth Proportional to 580.04, 798.70 and 393.44

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Solution

The fourth proportional to 580.04, 798.70 and 393.44 is: 541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.04 : 798.70 = 393.44 : x
  2. Step 2: Convert to fraction form
    580.04/798.70 = 393.44/x
  3. Step 3: Cross multiply
    580.04x = 798.70 × 393.44
  4. Step 4: Simplify right side
    580.04x = 314,240.53
  5. Step 5: Solve for x
    x = 314,240.53/580.04
  6. Step 6: Final answer
    x = 541.76

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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.