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Finding the Fourth Proportional to 893.13, 1,338.73 and 345.15

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Solution

The fourth proportional to 893.13, 1,338.73 and 345.15 is: 517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.13 : 1,338.73 = 345.15 : x
  2. Step 2: Convert to fraction form
    893.13/1,338.73 = 345.15/x
  3. Step 3: Cross multiply
    893.13x = 1,338.73 × 345.15
  4. Step 4: Simplify right side
    893.13x = 462,062.66
  5. Step 5: Solve for x
    x = 462,062.66/893.13
  6. Step 6: Final answer
    x = 517.35

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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.