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Finding the Fourth Proportional to 1,061.67, 1,464.93 and 668.42

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Solution

The fourth proportional to 1,061.67, 1,464.93 and 668.42 is: 922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.67 : 1,464.93 = 668.42 : x
  2. Step 2: Convert to fraction form
    1,061.67/1,464.93 = 668.42/x
  3. Step 3: Cross multiply
    1,061.67x = 1,464.93 × 668.42
  4. Step 4: Simplify right side
    1,061.67x = 979,188.51
  5. Step 5: Solve for x
    x = 979,188.51/1,061.67
  6. Step 6: Final answer
    x = 922.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.