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Finding the Fourth Proportional to 410.73, 612.53 and 350.25

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Solution

The fourth proportional to 410.73, 612.53 and 350.25 is: 522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.73 : 612.53 = 350.25 : x
  2. Step 2: Convert to fraction form
    410.73/612.53 = 350.25/x
  3. Step 3: Cross multiply
    410.73x = 612.53 × 350.25
  4. Step 4: Simplify right side
    410.73x = 214,539.51
  5. Step 5: Solve for x
    x = 214,539.51/410.73
  6. Step 6: Final answer
    x = 522.34

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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.