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Finding the Fourth Proportional to 1,603.42, 2,404.64 and 862.57

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Solution

The fourth proportional to 1,603.42, 2,404.64 and 862.57 is: 1,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.42 : 2,404.64 = 862.57 : x
  2. Step 2: Convert to fraction form
    1,603.42/2,404.64 = 862.57/x
  3. Step 3: Cross multiply
    1,603.42x = 2,404.64 × 862.57
  4. Step 4: Simplify right side
    1,603.42x = 2,074,170.32
  5. Step 5: Solve for x
    x = 2,074,170.32/1,603.42
  6. Step 6: Final answer
    x = 1,293.59

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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.