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Finding the Fourth Proportional to 1,309.61, 1,964.40 and 821.63

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Solution

The fourth proportional to 1,309.61, 1,964.40 and 821.63 is: 1,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.61 : 1,964.40 = 821.63 : x
  2. Step 2: Convert to fraction form
    1,309.61/1,964.40 = 821.63/x
  3. Step 3: Cross multiply
    1,309.61x = 1,964.40 × 821.63
  4. Step 4: Simplify right side
    1,309.61x = 1,614,000.15
  5. Step 5: Solve for x
    x = 1,614,000.15/1,309.61
  6. Step 6: Final answer
    x = 1,232.43

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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.