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Finding the Fourth Proportional to 578.56, 798.63 and 393.01

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Solution

The fourth proportional to 578.56, 798.63 and 393.01 is: 542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 798.63 = 393.01 : x
  2. Step 2: Convert to fraction form
    578.56/798.63 = 393.01/x
  3. Step 3: Cross multiply
    578.56x = 798.63 × 393.01
  4. Step 4: Simplify right side
    578.56x = 313,869.58
  5. Step 5: Solve for x
    x = 313,869.58/578.56
  6. Step 6: Final answer
    x = 542.50

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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.