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Finding the Fourth Proportional to 1,899.38, 2,849.55 and 649.95

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Solution

The fourth proportional to 1,899.38, 2,849.55 and 649.95 is: 975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.38 : 2,849.55 = 649.95 : x
  2. Step 2: Convert to fraction form
    1,899.38/2,849.55 = 649.95/x
  3. Step 3: Cross multiply
    1,899.38x = 2,849.55 × 649.95
  4. Step 4: Simplify right side
    1,899.38x = 1,852,065.02
  5. Step 5: Solve for x
    x = 1,852,065.02/1,899.38
  6. Step 6: Final answer
    x = 975.09

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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.