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Finding the Fourth Proportional to 1,309.83, 1,963.65 and 897.96

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Solution

The fourth proportional to 1,309.83, 1,963.65 and 897.96 is: 1,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.83 : 1,963.65 = 897.96 : x
  2. Step 2: Convert to fraction form
    1,309.83/1,963.65 = 897.96/x
  3. Step 3: Cross multiply
    1,309.83x = 1,963.65 × 897.96
  4. Step 4: Simplify right side
    1,309.83x = 1,763,279.15
  5. Step 5: Solve for x
    x = 1,763,279.15/1,309.83
  6. Step 6: Final answer
    x = 1,346.19

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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.