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Finding the Fourth Proportional to 483, 666.54 and 345.24

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Solution

The fourth proportional to 483, 666.54 and 345.24 is: 476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    483 : 666.54 = 345.24 : x
  2. Step 2: Convert to fraction form
    483/666.54 = 345.24/x
  3. Step 3: Cross multiply
    483x = 666.54 × 345.24
  4. Step 4: Simplify right side
    483x = 230,116.27
  5. Step 5: Solve for x
    x = 230,116.27/483
  6. Step 6: Final answer
    x = 476.43

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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.