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Finding the Fourth Proportional to 1,593.35, 2,390.24 and 497.79

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Solution

The fourth proportional to 1,593.35, 2,390.24 and 497.79 is: 746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.35 : 2,390.24 = 497.79 : x
  2. Step 2: Convert to fraction form
    1,593.35/2,390.24 = 497.79/x
  3. Step 3: Cross multiply
    1,593.35x = 2,390.24 × 497.79
  4. Step 4: Simplify right side
    1,593.35x = 1,189,835.08
  5. Step 5: Solve for x
    x = 1,189,835.08/1,593.35
  6. Step 6: Final answer
    x = 746.75

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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.