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Finding the Fourth Proportional to 1,471.10, 2,030.11 and 798.89

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Solution

The fourth proportional to 1,471.10, 2,030.11 and 798.89 is: 1,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.10 : 2,030.11 = 798.89 : x
  2. Step 2: Convert to fraction form
    1,471.10/2,030.11 = 798.89/x
  3. Step 3: Cross multiply
    1,471.10x = 2,030.11 × 798.89
  4. Step 4: Simplify right side
    1,471.10x = 1,621,834.58
  5. Step 5: Solve for x
    x = 1,621,834.58/1,471.10
  6. Step 6: Final answer
    x = 1,102.46

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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.