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Finding the Fourth Proportional to 1,648.90, 2,276.07 and 1,019.91

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Solution

The fourth proportional to 1,648.90, 2,276.07 and 1,019.91 is: 1,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.90 : 2,276.07 = 1,019.91 : x
  2. Step 2: Convert to fraction form
    1,648.90/2,276.07 = 1,019.91/x
  3. Step 3: Cross multiply
    1,648.90x = 2,276.07 × 1,019.91
  4. Step 4: Simplify right side
    1,648.90x = 2,321,391.26
  5. Step 5: Solve for x
    x = 2,321,391.26/1,648.90
  6. Step 6: Final answer
    x = 1,407.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.