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Finding the Fourth Proportional to 1,351.46, 1,865.00 and 730.46

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Solution

The fourth proportional to 1,351.46, 1,865.00 and 730.46 is: 1,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.46 : 1,865.00 = 730.46 : x
  2. Step 2: Convert to fraction form
    1,351.46/1,865.00 = 730.46/x
  3. Step 3: Cross multiply
    1,351.46x = 1,865.00 × 730.46
  4. Step 4: Simplify right side
    1,351.46x = 1,362,300.40
  5. Step 5: Solve for x
    x = 1,362,300.40/1,351.46
  6. Step 6: Final answer
    x = 1,008.02

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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.