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Finding the Fourth Proportional to 945.21, 1,416.27 and 909.21

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Solution

The fourth proportional to 945.21, 1,416.27 and 909.21 is: 1,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.21 : 1,416.27 = 909.21 : x
  2. Step 2: Convert to fraction form
    945.21/1,416.27 = 909.21/x
  3. Step 3: Cross multiply
    945.21x = 1,416.27 × 909.21
  4. Step 4: Simplify right side
    945.21x = 1,287,686.85
  5. Step 5: Solve for x
    x = 1,287,686.85/945.21
  6. Step 6: Final answer
    x = 1,362.33

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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.