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Finding the Fourth Proportional to 418.57, 577.13 and 345.06

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Solution

The fourth proportional to 418.57, 577.13 and 345.06 is: 475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.57 : 577.13 = 345.06 : x
  2. Step 2: Convert to fraction form
    418.57/577.13 = 345.06/x
  3. Step 3: Cross multiply
    418.57x = 577.13 × 345.06
  4. Step 4: Simplify right side
    418.57x = 199,142.75
  5. Step 5: Solve for x
    x = 199,142.75/418.57
  6. Step 6: Final answer
    x = 475.77

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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.