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Finding the Fourth Proportional to 505.51, 697.95 and 331.15

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Solution

The fourth proportional to 505.51, 697.95 and 331.15 is: 457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 697.95 = 331.15 : x
  2. Step 2: Convert to fraction form
    505.51/697.95 = 331.15/x
  3. Step 3: Cross multiply
    505.51x = 697.95 × 331.15
  4. Step 4: Simplify right side
    505.51x = 231,126.14
  5. Step 5: Solve for x
    x = 231,126.14/505.51
  6. Step 6: Final answer
    x = 457.21

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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.