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Finding the Fourth Proportional to 1,401.69, 1,935.37 and 904.62

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Solution

The fourth proportional to 1,401.69, 1,935.37 and 904.62 is: 1,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.69 : 1,935.37 = 904.62 : x
  2. Step 2: Convert to fraction form
    1,401.69/1,935.37 = 904.62/x
  3. Step 3: Cross multiply
    1,401.69x = 1,935.37 × 904.62
  4. Step 4: Simplify right side
    1,401.69x = 1,750,774.41
  5. Step 5: Solve for x
    x = 1,750,774.41/1,401.69
  6. Step 6: Final answer
    x = 1,249.05

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