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Finding the Fourth Proportional to 1,593.19, 2,389.11 and 496.99

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Solution

The fourth proportional to 1,593.19, 2,389.11 and 496.99 is: 745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.19 : 2,389.11 = 496.99 : x
  2. Step 2: Convert to fraction form
    1,593.19/2,389.11 = 496.99/x
  3. Step 3: Cross multiply
    1,593.19x = 2,389.11 × 496.99
  4. Step 4: Simplify right side
    1,593.19x = 1,187,363.78
  5. Step 5: Solve for x
    x = 1,187,363.78/1,593.19
  6. Step 6: Final answer
    x = 745.27

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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.