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Finding the Fourth Proportional to 1,588.58, 2,382.99 and 493.02

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Solution

The fourth proportional to 1,588.58, 2,382.99 and 493.02 is: 739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.58 : 2,382.99 = 493.02 : x
  2. Step 2: Convert to fraction form
    1,588.58/2,382.99 = 493.02/x
  3. Step 3: Cross multiply
    1,588.58x = 2,382.99 × 493.02
  4. Step 4: Simplify right side
    1,588.58x = 1,174,859.88
  5. Step 5: Solve for x
    x = 1,174,859.88/1,588.58
  6. Step 6: Final answer
    x = 739.57

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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.