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Finding the Fourth Proportional to 1,150.95, 1,726.41 and 285.26

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Solution

The fourth proportional to 1,150.95, 1,726.41 and 285.26 is: 427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.95 : 1,726.41 = 285.26 : x
  2. Step 2: Convert to fraction form
    1,150.95/1,726.41 = 285.26/x
  3. Step 3: Cross multiply
    1,150.95x = 1,726.41 × 285.26
  4. Step 4: Simplify right side
    1,150.95x = 492,477.87
  5. Step 5: Solve for x
    x = 492,477.87/1,150.95
  6. Step 6: Final answer
    x = 427.89

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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.