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Finding the Fourth Proportional to 1,713.81, 2,571.40 and 740.59

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Solution

The fourth proportional to 1,713.81, 2,571.40 and 740.59 is: 1,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.81 : 2,571.40 = 740.59 : x
  2. Step 2: Convert to fraction form
    1,713.81/2,571.40 = 740.59/x
  3. Step 3: Cross multiply
    1,713.81x = 2,571.40 × 740.59
  4. Step 4: Simplify right side
    1,713.81x = 1,904,357.92
  5. Step 5: Solve for x
    x = 1,904,357.92/1,713.81
  6. Step 6: Final answer
    x = 1,111.19

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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.