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Finding the Fourth Proportional to 2,289.61, 3,434.54 and 646.03

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Solution

The fourth proportional to 2,289.61, 3,434.54 and 646.03 is: 969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.61 : 3,434.54 = 646.03 : x
  2. Step 2: Convert to fraction form
    2,289.61/3,434.54 = 646.03/x
  3. Step 3: Cross multiply
    2,289.61x = 3,434.54 × 646.03
  4. Step 4: Simplify right side
    2,289.61x = 2,218,815.88
  5. Step 5: Solve for x
    x = 2,218,815.88/2,289.61
  6. Step 6: Final answer
    x = 969.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.