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Finding the Fourth Proportional to 1,309.00, 1,963.49 and 487.16

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Solution

The fourth proportional to 1,309.00, 1,963.49 and 487.16 is: 730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.00 : 1,963.49 = 487.16 : x
  2. Step 2: Convert to fraction form
    1,309.00/1,963.49 = 487.16/x
  3. Step 3: Cross multiply
    1,309.00x = 1,963.49 × 487.16
  4. Step 4: Simplify right side
    1,309.00x = 956,533.79
  5. Step 5: Solve for x
    x = 956,533.79/1,309.00
  6. Step 6: Final answer
    x = 730.74

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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.