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Finding the Fourth Proportional to 2,465.54, 3,698.88 and 905.54

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Solution

The fourth proportional to 2,465.54, 3,698.88 and 905.54 is: 1,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.54 : 3,698.88 = 905.54 : x
  2. Step 2: Convert to fraction form
    2,465.54/3,698.88 = 905.54/x
  3. Step 3: Cross multiply
    2,465.54x = 3,698.88 × 905.54
  4. Step 4: Simplify right side
    2,465.54x = 3,349,465.30
  5. Step 5: Solve for x
    x = 3,349,465.30/2,465.54
  6. Step 6: Final answer
    x = 1,358.51

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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.