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Finding the Fourth Proportional to 866.00, 1,298.75 and 345.80

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Solution

The fourth proportional to 866.00, 1,298.75 and 345.80 is: 518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.00 : 1,298.75 = 345.80 : x
  2. Step 2: Convert to fraction form
    866.00/1,298.75 = 345.80/x
  3. Step 3: Cross multiply
    866.00x = 1,298.75 × 345.80
  4. Step 4: Simplify right side
    866.00x = 449,099.53
  5. Step 5: Solve for x
    x = 449,099.53/866.00
  6. Step 6: Final answer
    x = 518.59

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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.