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Finding the Fourth Proportional to 2,289.80, 3,434.71 and 646.36

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Solution

The fourth proportional to 2,289.80, 3,434.71 and 646.36 is: 969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.80 : 3,434.71 = 646.36 : x
  2. Step 2: Convert to fraction form
    2,289.80/3,434.71 = 646.36/x
  3. Step 3: Cross multiply
    2,289.80x = 3,434.71 × 646.36
  4. Step 4: Simplify right side
    2,289.80x = 2,220,055.92
  5. Step 5: Solve for x
    x = 2,220,055.92/2,289.80
  6. Step 6: Final answer
    x = 969.54

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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.