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Finding the Fourth Proportional to 406.99, 606.19 and 401.59

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Solution

The fourth proportional to 406.99, 606.19 and 401.59 is: 598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.99 : 606.19 = 401.59 : x
  2. Step 2: Convert to fraction form
    406.99/606.19 = 401.59/x
  3. Step 3: Cross multiply
    406.99x = 606.19 × 401.59
  4. Step 4: Simplify right side
    406.99x = 243,437.83
  5. Step 5: Solve for x
    x = 243,437.83/406.99
  6. Step 6: Final answer
    x = 598.14

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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.