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Finding the Fourth Proportional to 1,468.47, 2,027.16 and 909.27

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Solution

The fourth proportional to 1,468.47, 2,027.16 and 909.27 is: 1,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.47 : 2,027.16 = 909.27 : x
  2. Step 2: Convert to fraction form
    1,468.47/2,027.16 = 909.27/x
  3. Step 3: Cross multiply
    1,468.47x = 2,027.16 × 909.27
  4. Step 4: Simplify right side
    1,468.47x = 1,843,235.77
  5. Step 5: Solve for x
    x = 1,843,235.77/1,468.47
  6. Step 6: Final answer
    x = 1,255.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.