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Finding the Fourth Proportional to 2,289.82, 3,434.35 and 646.38

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Solution

The fourth proportional to 2,289.82, 3,434.35 and 646.38 is: 969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.82 : 3,434.35 = 646.38 : x
  2. Step 2: Convert to fraction form
    2,289.82/3,434.35 = 646.38/x
  3. Step 3: Cross multiply
    2,289.82x = 3,434.35 × 646.38
  4. Step 4: Simplify right side
    2,289.82x = 2,219,894.75
  5. Step 5: Solve for x
    x = 2,219,894.75/2,289.82
  6. Step 6: Final answer
    x = 969.46

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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.