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Finding the Fourth Proportional to 739.63, 1,021.26 and 460.27

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Solution

The fourth proportional to 739.63, 1,021.26 and 460.27 is: 635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.63 : 1,021.26 = 460.27 : x
  2. Step 2: Convert to fraction form
    739.63/1,021.26 = 460.27/x
  3. Step 3: Cross multiply
    739.63x = 1,021.26 × 460.27
  4. Step 4: Simplify right side
    739.63x = 470,055.34
  5. Step 5: Solve for x
    x = 470,055.34/739.63
  6. Step 6: Final answer
    x = 635.53

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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.