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Finding the Fourth Proportional to 2,291.85, 3,435.42 and 904.62

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Solution

The fourth proportional to 2,291.85, 3,435.42 and 904.62 is: 1,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.85 : 3,435.42 = 904.62 : x
  2. Step 2: Convert to fraction form
    2,291.85/3,435.42 = 904.62/x
  3. Step 3: Cross multiply
    2,291.85x = 3,435.42 × 904.62
  4. Step 4: Simplify right side
    2,291.85x = 3,107,749.64
  5. Step 5: Solve for x
    x = 3,107,749.64/2,291.85
  6. Step 6: Final answer
    x = 1,356.00

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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.