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Finding the Fourth Proportional to 1,300.89, 1,949.45 and 650.73

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Solution

The fourth proportional to 1,300.89, 1,949.45 and 650.73 is: 975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.89 : 1,949.45 = 650.73 : x
  2. Step 2: Convert to fraction form
    1,300.89/1,949.45 = 650.73/x
  3. Step 3: Cross multiply
    1,300.89x = 1,949.45 × 650.73
  4. Step 4: Simplify right side
    1,300.89x = 1,268,562.34
  5. Step 5: Solve for x
    x = 1,268,562.34/1,300.89
  6. Step 6: Final answer
    x = 975.15

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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.