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Finding the Fourth Proportional to 1,309.88, 1,964.72 and 761.72

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Solution

The fourth proportional to 1,309.88, 1,964.72 and 761.72 is: 1,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.88 : 1,964.72 = 761.72 : x
  2. Step 2: Convert to fraction form
    1,309.88/1,964.72 = 761.72/x
  3. Step 3: Cross multiply
    1,309.88x = 1,964.72 × 761.72
  4. Step 4: Simplify right side
    1,309.88x = 1,496,552.89
  5. Step 5: Solve for x
    x = 1,496,552.89/1,309.88
  6. Step 6: Final answer
    x = 1,142.51

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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.