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Finding the Fourth Proportional to 2,289.76, 3,434.72 and 646.27

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Solution

The fourth proportional to 2,289.76, 3,434.72 and 646.27 is: 969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.76 : 3,434.72 = 646.27 : x
  2. Step 2: Convert to fraction form
    2,289.76/3,434.72 = 646.27/x
  3. Step 3: Cross multiply
    2,289.76x = 3,434.72 × 646.27
  4. Step 4: Simplify right side
    2,289.76x = 2,219,744.68
  5. Step 5: Solve for x
    x = 2,219,744.68/2,289.76
  6. Step 6: Final answer
    x = 969.42

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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.