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Finding the Fourth Proportional to 1,498.85, 2,067.85 and 909.17

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Solution

The fourth proportional to 1,498.85, 2,067.85 and 909.17 is: 1,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.85 : 2,067.85 = 909.17 : x
  2. Step 2: Convert to fraction form
    1,498.85/2,067.85 = 909.17/x
  3. Step 3: Cross multiply
    1,498.85x = 2,067.85 × 909.17
  4. Step 4: Simplify right side
    1,498.85x = 1,880,027.18
  5. Step 5: Solve for x
    x = 1,880,027.18/1,498.85
  6. Step 6: Final answer
    x = 1,254.31

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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.