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Finding the Fourth Proportional to 398.94, 594.08 and 397.50

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Solution

The fourth proportional to 398.94, 594.08 and 397.50 is: 591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.94 : 594.08 = 397.50 : x
  2. Step 2: Convert to fraction form
    398.94/594.08 = 397.50/x
  3. Step 3: Cross multiply
    398.94x = 594.08 × 397.50
  4. Step 4: Simplify right side
    398.94x = 236,144.81
  5. Step 5: Solve for x
    x = 236,144.81/398.94
  6. Step 6: Final answer
    x = 591.93

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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.