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Finding the Fourth Proportional to 474.02, 711.02 and 393.42

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Solution

The fourth proportional to 474.02, 711.02 and 393.42 is: 590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.02 : 711.02 = 393.42 : x
  2. Step 2: Convert to fraction form
    474.02/711.02 = 393.42/x
  3. Step 3: Cross multiply
    474.02x = 711.02 × 393.42
  4. Step 4: Simplify right side
    474.02x = 279,729.49
  5. Step 5: Solve for x
    x = 279,729.49/474.02
  6. Step 6: Final answer
    x = 590.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.