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Finding the Fourth Proportional to 866.23, 1,298.57 and 378.89

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Solution

The fourth proportional to 866.23, 1,298.57 and 378.89 is: 568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.23 : 1,298.57 = 378.89 : x
  2. Step 2: Convert to fraction form
    866.23/1,298.57 = 378.89/x
  3. Step 3: Cross multiply
    866.23x = 1,298.57 × 378.89
  4. Step 4: Simplify right side
    866.23x = 492,013.29
  5. Step 5: Solve for x
    x = 492,013.29/866.23
  6. Step 6: Final answer
    x = 568.00

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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.