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Finding the Fourth Proportional to 1,800.59, 2,701.97 and 646.43

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Solution

The fourth proportional to 1,800.59, 2,701.97 and 646.43 is: 970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.59 : 2,701.97 = 646.43 : x
  2. Step 2: Convert to fraction form
    1,800.59/2,701.97 = 646.43/x
  3. Step 3: Cross multiply
    1,800.59x = 2,701.97 × 646.43
  4. Step 4: Simplify right side
    1,800.59x = 1,746,631.23
  5. Step 5: Solve for x
    x = 1,746,631.23/1,800.59
  6. Step 6: Final answer
    x = 970.03

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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.