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Finding the Fourth Proportional to 1,739.63, 2,400.69 and 953.69

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Solution

The fourth proportional to 1,739.63, 2,400.69 and 953.69 is: 1,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.63 : 2,400.69 = 953.69 : x
  2. Step 2: Convert to fraction form
    1,739.63/2,400.69 = 953.69/x
  3. Step 3: Cross multiply
    1,739.63x = 2,400.69 × 953.69
  4. Step 4: Simplify right side
    1,739.63x = 2,289,502.04
  5. Step 5: Solve for x
    x = 2,289,502.04/1,739.63
  6. Step 6: Final answer
    x = 1,316.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.