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Finding the Fourth Proportional to 603.02, 906.05 and 383.74

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Solution

The fourth proportional to 603.02, 906.05 and 383.74 is: 576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.02 : 906.05 = 383.74 : x
  2. Step 2: Convert to fraction form
    603.02/906.05 = 383.74/x
  3. Step 3: Cross multiply
    603.02x = 906.05 × 383.74
  4. Step 4: Simplify right side
    603.02x = 347,689.26
  5. Step 5: Solve for x
    x = 347,689.26/603.02
  6. Step 6: Final answer
    x = 576.58

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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.