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Finding the Fourth Proportional to 945.45, 1,305.18 and 630.90

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Solution

The fourth proportional to 945.45, 1,305.18 and 630.90 is: 870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.45 : 1,305.18 = 630.90 : x
  2. Step 2: Convert to fraction form
    945.45/1,305.18 = 630.90/x
  3. Step 3: Cross multiply
    945.45x = 1,305.18 × 630.90
  4. Step 4: Simplify right side
    945.45x = 823,438.06
  5. Step 5: Solve for x
    x = 823,438.06/945.45
  6. Step 6: Final answer
    x = 870.95

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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.