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Finding the Fourth Proportional to 393.09, 586.02 and 374.64

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Solution

The fourth proportional to 393.09, 586.02 and 374.64 is: 558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.09 : 586.02 = 374.64 : x
  2. Step 2: Convert to fraction form
    393.09/586.02 = 374.64/x
  3. Step 3: Cross multiply
    393.09x = 586.02 × 374.64
  4. Step 4: Simplify right side
    393.09x = 219,542.67
  5. Step 5: Solve for x
    x = 219,542.67/393.09
  6. Step 6: Final answer
    x = 558.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.