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Finding the Fourth Proportional to 845.74, 1,268.16 and 412.48

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Solution

The fourth proportional to 845.74, 1,268.16 and 412.48 is: 618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.74 : 1,268.16 = 412.48 : x
  2. Step 2: Convert to fraction form
    845.74/1,268.16 = 412.48/x
  3. Step 3: Cross multiply
    845.74x = 1,268.16 × 412.48
  4. Step 4: Simplify right side
    845.74x = 523,090.64
  5. Step 5: Solve for x
    x = 523,090.64/845.74
  6. Step 6: Final answer
    x = 618.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.