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Finding the Fourth Proportional to 1,739.01, 2,399.86 and 953.05

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Solution

The fourth proportional to 1,739.01, 2,399.86 and 953.05 is: 1,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.01 : 2,399.86 = 953.05 : x
  2. Step 2: Convert to fraction form
    1,739.01/2,399.86 = 953.05/x
  3. Step 3: Cross multiply
    1,739.01x = 2,399.86 × 953.05
  4. Step 4: Simplify right side
    1,739.01x = 2,287,181.76
  5. Step 5: Solve for x
    x = 2,287,181.76/1,739.01
  6. Step 6: Final answer
    x = 1,315.22

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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.