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Finding the Fourth Proportional to 1,120.75, 1,546.56 and 623.35

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Solution

The fourth proportional to 1,120.75, 1,546.56 and 623.35 is: 860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.75 : 1,546.56 = 623.35 : x
  2. Step 2: Convert to fraction form
    1,120.75/1,546.56 = 623.35/x
  3. Step 3: Cross multiply
    1,120.75x = 1,546.56 × 623.35
  4. Step 4: Simplify right side
    1,120.75x = 964,048.18
  5. Step 5: Solve for x
    x = 964,048.18/1,120.75
  6. Step 6: Final answer
    x = 860.18

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Half scale
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Double scale
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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.