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Finding the Fourth Proportional to 1,603.09, 2,404.22 and 562.78

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Solution

The fourth proportional to 1,603.09, 2,404.22 and 562.78 is: 844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.09 : 2,404.22 = 562.78 : x
  2. Step 2: Convert to fraction form
    1,603.09/2,404.22 = 562.78/x
  3. Step 3: Cross multiply
    1,603.09x = 2,404.22 × 562.78
  4. Step 4: Simplify right side
    1,603.09x = 1,353,047.12
  5. Step 5: Solve for x
    x = 1,353,047.12/1,603.09
  6. Step 6: Final answer
    x = 844.02

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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.