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Finding the Fourth Proportional to 481.77, 665.34 and 430.23

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Solution

The fourth proportional to 481.77, 665.34 and 430.23 is: 594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.77 : 665.34 = 430.23 : x
  2. Step 2: Convert to fraction form
    481.77/665.34 = 430.23/x
  3. Step 3: Cross multiply
    481.77x = 665.34 × 430.23
  4. Step 4: Simplify right side
    481.77x = 286,249.23
  5. Step 5: Solve for x
    x = 286,249.23/481.77
  6. Step 6: Final answer
    x = 594.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.