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Finding the Fourth Proportional to 2,289.89, 3,435.12 and 646.57

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Solution

The fourth proportional to 2,289.89, 3,435.12 and 646.57 is: 969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.89 : 3,435.12 = 646.57 : x
  2. Step 2: Convert to fraction form
    2,289.89/3,435.12 = 646.57/x
  3. Step 3: Cross multiply
    2,289.89x = 3,435.12 × 646.57
  4. Step 4: Simplify right side
    2,289.89x = 2,221,028.36
  5. Step 5: Solve for x
    x = 2,221,028.36/2,289.89
  6. Step 6: Final answer
    x = 969.93

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1.5x scale

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.