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Finding the Fourth Proportional to 1,061.48, 1,465.28 and 668.44

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Solution

The fourth proportional to 1,061.48, 1,465.28 and 668.44 is: 922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.48 : 1,465.28 = 668.44 : x
  2. Step 2: Convert to fraction form
    1,061.48/1,465.28 = 668.44/x
  3. Step 3: Cross multiply
    1,061.48x = 1,465.28 × 668.44
  4. Step 4: Simplify right side
    1,061.48x = 979,451.76
  5. Step 5: Solve for x
    x = 979,451.76/1,061.48
  6. Step 6: Final answer
    x = 922.72

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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.