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Finding the Fourth Proportional to 1,520.66, 2,098.48 and 857.51

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Solution

The fourth proportional to 1,520.66, 2,098.48 and 857.51 is: 1,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.66 : 2,098.48 = 857.51 : x
  2. Step 2: Convert to fraction form
    1,520.66/2,098.48 = 857.51/x
  3. Step 3: Cross multiply
    1,520.66x = 2,098.48 × 857.51
  4. Step 4: Simplify right side
    1,520.66x = 1,799,470.69
  5. Step 5: Solve for x
    x = 1,799,470.69/1,520.66
  6. Step 6: Final answer
    x = 1,183.35

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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.