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Finding the Fourth Proportional to 2,390.64, 3,586.38 and 830.58

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Solution

The fourth proportional to 2,390.64, 3,586.38 and 830.58 is: 1,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.64 : 3,586.38 = 830.58 : x
  2. Step 2: Convert to fraction form
    2,390.64/3,586.38 = 830.58/x
  3. Step 3: Cross multiply
    2,390.64x = 3,586.38 × 830.58
  4. Step 4: Simplify right side
    2,390.64x = 2,978,775.50
  5. Step 5: Solve for x
    x = 2,978,775.50/2,390.64
  6. Step 6: Final answer
    x = 1,246.02

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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.