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Finding the Fourth Proportional to 471.51, 703.71 and 459.23

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Solution

The fourth proportional to 471.51, 703.71 and 459.23 is: 685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.51 : 703.71 = 459.23 : x
  2. Step 2: Convert to fraction form
    471.51/703.71 = 459.23/x
  3. Step 3: Cross multiply
    471.51x = 703.71 × 459.23
  4. Step 4: Simplify right side
    471.51x = 323,161.22
  5. Step 5: Solve for x
    x = 323,161.22/471.51
  6. Step 6: Final answer
    x = 685.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.