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Finding the Fourth Proportional to 945.19, 1,420.08 and 919.81

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Solution

The fourth proportional to 945.19, 1,420.08 and 919.81 is: 1,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.19 : 1,420.08 = 919.81 : x
  2. Step 2: Convert to fraction form
    945.19/1,420.08 = 919.81/x
  3. Step 3: Cross multiply
    945.19x = 1,420.08 × 919.81
  4. Step 4: Simplify right side
    945.19x = 1,306,203.78
  5. Step 5: Solve for x
    x = 1,306,203.78/945.19
  6. Step 6: Final answer
    x = 1,381.95

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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.