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Finding the Fourth Proportional to 1,310.94, 1,964.97 and 625.50

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Solution

The fourth proportional to 1,310.94, 1,964.97 and 625.50 is: 937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.94 : 1,964.97 = 625.50 : x
  2. Step 2: Convert to fraction form
    1,310.94/1,964.97 = 625.50/x
  3. Step 3: Cross multiply
    1,310.94x = 1,964.97 × 625.50
  4. Step 4: Simplify right side
    1,310.94x = 1,229,088.74
  5. Step 5: Solve for x
    x = 1,229,088.74/1,310.94
  6. Step 6: Final answer
    x = 937.56

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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.