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Finding the Fourth Proportional to 1,089.45, 1,629.90 and 830.25

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Solution

The fourth proportional to 1,089.45, 1,629.90 and 830.25 is: 1,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.45 : 1,629.90 = 830.25 : x
  2. Step 2: Convert to fraction form
    1,089.45/1,629.90 = 830.25/x
  3. Step 3: Cross multiply
    1,089.45x = 1,629.90 × 830.25
  4. Step 4: Simplify right side
    1,089.45x = 1,353,224.48
  5. Step 5: Solve for x
    x = 1,353,224.48/1,089.45
  6. Step 6: Final answer
    x = 1,242.12

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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.