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Finding the Fourth Proportional to 929.98, 1,388.44 and 767.98

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Solution

The fourth proportional to 929.98, 1,388.44 and 767.98 is: 1,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.98 : 1,388.44 = 767.98 : x
  2. Step 2: Convert to fraction form
    929.98/1,388.44 = 767.98/x
  3. Step 3: Cross multiply
    929.98x = 1,388.44 × 767.98
  4. Step 4: Simplify right side
    929.98x = 1,066,290.31
  5. Step 5: Solve for x
    x = 1,066,290.31/929.98
  6. Step 6: Final answer
    x = 1,146.57

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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.