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Finding the Fourth Proportional to 2,290.99, 3,433.45 and 828.74

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Solution

The fourth proportional to 2,290.99, 3,433.45 and 828.74 is: 1,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.99 : 3,433.45 = 828.74 : x
  2. Step 2: Convert to fraction form
    2,290.99/3,433.45 = 828.74/x
  3. Step 3: Cross multiply
    2,290.99x = 3,433.45 × 828.74
  4. Step 4: Simplify right side
    2,290.99x = 2,845,437.35
  5. Step 5: Solve for x
    x = 2,845,437.35/2,290.99
  6. Step 6: Final answer
    x = 1,242.01

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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.