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Finding the Fourth Proportional to 1,593.26, 2,390.10 and 497.50

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Solution

The fourth proportional to 1,593.26, 2,390.10 and 497.50 is: 746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.26 : 2,390.10 = 497.50 : x
  2. Step 2: Convert to fraction form
    1,593.26/2,390.10 = 497.50/x
  3. Step 3: Cross multiply
    1,593.26x = 2,390.10 × 497.50
  4. Step 4: Simplify right side
    1,593.26x = 1,189,074.75
  5. Step 5: Solve for x
    x = 1,189,074.75/1,593.26
  6. Step 6: Final answer
    x = 746.32

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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.