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Finding the Fourth Proportional to 897.54, 1,344.96 and 666.06

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Solution

The fourth proportional to 897.54, 1,344.96 and 666.06 is: 998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.54 : 1,344.96 = 666.06 : x
  2. Step 2: Convert to fraction form
    897.54/1,344.96 = 666.06/x
  3. Step 3: Cross multiply
    897.54x = 1,344.96 × 666.06
  4. Step 4: Simplify right side
    897.54x = 895,824.06
  5. Step 5: Solve for x
    x = 895,824.06/897.54
  6. Step 6: Final answer
    x = 998.09

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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.