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Finding the Fourth Proportional to 603.90, 833.67 and 405.06

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Solution

The fourth proportional to 603.90, 833.67 and 405.06 is: 559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.90 : 833.67 = 405.06 : x
  2. Step 2: Convert to fraction form
    603.90/833.67 = 405.06/x
  3. Step 3: Cross multiply
    603.90x = 833.67 × 405.06
  4. Step 4: Simplify right side
    603.90x = 337,686.37
  5. Step 5: Solve for x
    x = 337,686.37/603.90
  6. Step 6: Final answer
    x = 559.18

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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.