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Finding the Fourth Proportional to 474.00, 707.09 and 401.33

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Solution

The fourth proportional to 474.00, 707.09 and 401.33 is: 598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.00 : 707.09 = 401.33 : x
  2. Step 2: Convert to fraction form
    474.00/707.09 = 401.33/x
  3. Step 3: Cross multiply
    474.00x = 707.09 × 401.33
  4. Step 4: Simplify right side
    474.00x = 283,777.02
  5. Step 5: Solve for x
    x = 283,777.02/474.00
  6. Step 6: Final answer
    x = 598.68

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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.