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Finding the Fourth Proportional to 1,603.57, 2,405.33 and 417.61

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Solution

The fourth proportional to 1,603.57, 2,405.33 and 417.61 is: 626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.57 : 2,405.33 = 417.61 : x
  2. Step 2: Convert to fraction form
    1,603.57/2,405.33 = 417.61/x
  3. Step 3: Cross multiply
    1,603.57x = 2,405.33 × 417.61
  4. Step 4: Simplify right side
    1,603.57x = 1,004,489.86
  5. Step 5: Solve for x
    x = 1,004,489.86/1,603.57
  6. Step 6: Final answer
    x = 626.41

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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.