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Finding the Fourth Proportional to 1,061.90, 1,465.25 and 668.64

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Solution

The fourth proportional to 1,061.90, 1,465.25 and 668.64 is: 922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.90 : 1,465.25 = 668.64 : x
  2. Step 2: Convert to fraction form
    1,061.90/1,465.25 = 668.64/x
  3. Step 3: Cross multiply
    1,061.90x = 1,465.25 × 668.64
  4. Step 4: Simplify right side
    1,061.90x = 979,721.42
  5. Step 5: Solve for x
    x = 979,721.42/1,061.90
  6. Step 6: Final answer
    x = 922.62

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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.