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Finding the Fourth Proportional to 453.44, 679.66 and 345.01

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Solution

The fourth proportional to 453.44, 679.66 and 345.01 is: 517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.44 : 679.66 = 345.01 : x
  2. Step 2: Convert to fraction form
    453.44/679.66 = 345.01/x
  3. Step 3: Cross multiply
    453.44x = 679.66 × 345.01
  4. Step 4: Simplify right side
    453.44x = 234,486.93
  5. Step 5: Solve for x
    x = 234,486.93/453.44
  6. Step 6: Final answer
    x = 517.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.