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Finding the Fourth Proportional to 1,445.55, 2,169.23 and 830.45

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Solution

The fourth proportional to 1,445.55, 2,169.23 and 830.45 is: 1,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.55 : 2,169.23 = 830.45 : x
  2. Step 2: Convert to fraction form
    1,445.55/2,169.23 = 830.45/x
  3. Step 3: Cross multiply
    1,445.55x = 2,169.23 × 830.45
  4. Step 4: Simplify right side
    1,445.55x = 1,801,443.00
  5. Step 5: Solve for x
    x = 1,801,443.00/1,445.55
  6. Step 6: Final answer
    x = 1,246.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.