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Finding the Fourth Proportional to 1,589.46, 2,383.05 and 493.23

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Solution

The fourth proportional to 1,589.46, 2,383.05 and 493.23 is: 739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.46 : 2,383.05 = 493.23 : x
  2. Step 2: Convert to fraction form
    1,589.46/2,383.05 = 493.23/x
  3. Step 3: Cross multiply
    1,589.46x = 2,383.05 × 493.23
  4. Step 4: Simplify right side
    1,589.46x = 1,175,391.75
  5. Step 5: Solve for x
    x = 1,175,391.75/1,589.46
  6. Step 6: Final answer
    x = 739.49

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Half scale
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Double scale
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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.