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Finding the Fourth Proportional to 1,310.32, 1,963.63 and 783.45

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Solution

The fourth proportional to 1,310.32, 1,963.63 and 783.45 is: 1,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.32 : 1,963.63 = 783.45 : x
  2. Step 2: Convert to fraction form
    1,310.32/1,963.63 = 783.45/x
  3. Step 3: Cross multiply
    1,310.32x = 1,963.63 × 783.45
  4. Step 4: Simplify right side
    1,310.32x = 1,538,405.92
  5. Step 5: Solve for x
    x = 1,538,405.92/1,310.32
  6. Step 6: Final answer
    x = 1,174.07

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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.