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Finding the Fourth Proportional to 1,120.51, 1,546.19 and 623.09

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Solution

The fourth proportional to 1,120.51, 1,546.19 and 623.09 is: 859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.51 : 1,546.19 = 623.09 : x
  2. Step 2: Convert to fraction form
    1,120.51/1,546.19 = 623.09/x
  3. Step 3: Cross multiply
    1,120.51x = 1,546.19 × 623.09
  4. Step 4: Simplify right side
    1,120.51x = 963,412.41
  5. Step 5: Solve for x
    x = 963,412.41/1,120.51
  6. Step 6: Final answer
    x = 859.80

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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.