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Finding the Fourth Proportional to 1,441.71, 1,990.51 and 882.74

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Solution

The fourth proportional to 1,441.71, 1,990.51 and 882.74 is: 1,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.71 : 1,990.51 = 882.74 : x
  2. Step 2: Convert to fraction form
    1,441.71/1,990.51 = 882.74/x
  3. Step 3: Cross multiply
    1,441.71x = 1,990.51 × 882.74
  4. Step 4: Simplify right side
    1,441.71x = 1,757,114.19
  5. Step 5: Solve for x
    x = 1,757,114.19/1,441.71
  6. Step 6: Final answer
    x = 1,218.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.