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Finding the Fourth Proportional to 2,290.40, 3,435.60 and 559.02

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Solution

The fourth proportional to 2,290.40, 3,435.60 and 559.02 is: 838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.40 : 3,435.60 = 559.02 : x
  2. Step 2: Convert to fraction form
    2,290.40/3,435.60 = 559.02/x
  3. Step 3: Cross multiply
    2,290.40x = 3,435.60 × 559.02
  4. Step 4: Simplify right side
    2,290.40x = 1,920,574.80
  5. Step 5: Solve for x
    x = 1,920,574.80/2,290.40
  6. Step 6: Final answer
    x = 838.53

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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.