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Finding the Fourth Proportional to 1,309.71, 1,964.76 and 385.34

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Solution

The fourth proportional to 1,309.71, 1,964.76 and 385.34 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.71 : 1,964.76 = 385.34 : x
  2. Step 2: Convert to fraction form
    1,309.71/1,964.76 = 385.34/x
  3. Step 3: Cross multiply
    1,309.71x = 1,964.76 × 385.34
  4. Step 4: Simplify right side
    1,309.71x = 757,089.35
  5. Step 5: Solve for x
    x = 757,089.35/1,309.71
  6. Step 6: Final answer
    x = 578.06

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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.