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Finding the Fourth Proportional to 1,373.08, 1,894.88 and 743.62

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Solution

The fourth proportional to 1,373.08, 1,894.88 and 743.62 is: 1,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.08 : 1,894.88 = 743.62 : x
  2. Step 2: Convert to fraction form
    1,373.08/1,894.88 = 743.62/x
  3. Step 3: Cross multiply
    1,373.08x = 1,894.88 × 743.62
  4. Step 4: Simplify right side
    1,373.08x = 1,409,070.67
  5. Step 5: Solve for x
    x = 1,409,070.67/1,373.08
  6. Step 6: Final answer
    x = 1,026.21

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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.