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Finding the Fourth Proportional to 748.25, 1,114.94 and 666.47

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Solution

The fourth proportional to 748.25, 1,114.94 and 666.47 is: 993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.25 : 1,114.94 = 666.47 : x
  2. Step 2: Convert to fraction form
    748.25/1,114.94 = 666.47/x
  3. Step 3: Cross multiply
    748.25x = 1,114.94 × 666.47
  4. Step 4: Simplify right side
    748.25x = 743,068.49
  5. Step 5: Solve for x
    x = 743,068.49/748.25
  6. Step 6: Final answer
    x = 993.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.