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Finding the Fourth Proportional to 2,390.74, 3,586.28 and 635.74

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Solution

The fourth proportional to 2,390.74, 3,586.28 and 635.74 is: 953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.74 : 3,586.28 = 635.74 : x
  2. Step 2: Convert to fraction form
    2,390.74/3,586.28 = 635.74/x
  3. Step 3: Cross multiply
    2,390.74x = 3,586.28 × 635.74
  4. Step 4: Simplify right side
    2,390.74x = 2,279,929.50
  5. Step 5: Solve for x
    x = 2,279,929.50/2,390.74
  6. Step 6: Final answer
    x = 953.65

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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.