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Finding the Fourth Proportional to 1,589.94, 2,385.23 and 494.26

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Solution

The fourth proportional to 1,589.94, 2,385.23 and 494.26 is: 741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.94 : 2,385.23 = 494.26 : x
  2. Step 2: Convert to fraction form
    1,589.94/2,385.23 = 494.26/x
  3. Step 3: Cross multiply
    1,589.94x = 2,385.23 × 494.26
  4. Step 4: Simplify right side
    1,589.94x = 1,178,923.78
  5. Step 5: Solve for x
    x = 1,178,923.78/1,589.94
  6. Step 6: Final answer
    x = 741.49

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1.5x scale

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.