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Finding the Fourth Proportional to 845.37, 1,270.53 and 412.83

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Solution

The fourth proportional to 845.37, 1,270.53 and 412.83 is: 620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.37 : 1,270.53 = 412.83 : x
  2. Step 2: Convert to fraction form
    845.37/1,270.53 = 412.83/x
  3. Step 3: Cross multiply
    845.37x = 1,270.53 × 412.83
  4. Step 4: Simplify right side
    845.37x = 524,512.90
  5. Step 5: Solve for x
    x = 524,512.90/845.37
  6. Step 6: Final answer
    x = 620.45

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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.