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Finding the Fourth Proportional to 603.60, 833.34 and 394.14

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Solution

The fourth proportional to 603.60, 833.34 and 394.14 is: 544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.60 : 833.34 = 394.14 : x
  2. Step 2: Convert to fraction form
    603.60/833.34 = 394.14/x
  3. Step 3: Cross multiply
    603.60x = 833.34 × 394.14
  4. Step 4: Simplify right side
    603.60x = 328,452.63
  5. Step 5: Solve for x
    x = 328,452.63/603.60
  6. Step 6: Final answer
    x = 544.16

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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.