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Finding the Fourth Proportional to 2,290.02, 3,435.03 and 904.01

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Solution

The fourth proportional to 2,290.02, 3,435.03 and 904.01 is: 1,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.02 : 3,435.03 = 904.01 : x
  2. Step 2: Convert to fraction form
    2,290.02/3,435.03 = 904.01/x
  3. Step 3: Cross multiply
    2,290.02x = 3,435.03 × 904.01
  4. Step 4: Simplify right side
    2,290.02x = 3,105,301.47
  5. Step 5: Solve for x
    x = 3,105,301.47/2,290.02
  6. Step 6: Final answer
    x = 1,356.02

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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.