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Finding the Fourth Proportional to 1,774.74, 2,661.75 and 476.22

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Solution

The fourth proportional to 1,774.74, 2,661.75 and 476.22 is: 714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.74 : 2,661.75 = 476.22 : x
  2. Step 2: Convert to fraction form
    1,774.74/2,661.75 = 476.22/x
  3. Step 3: Cross multiply
    1,774.74x = 2,661.75 × 476.22
  4. Step 4: Simplify right side
    1,774.74x = 1,267,578.59
  5. Step 5: Solve for x
    x = 1,267,578.59/1,774.74
  6. Step 6: Final answer
    x = 714.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.