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Finding the Fourth Proportional to 1,312.12, 1,968.36 and 490.20

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Solution

The fourth proportional to 1,312.12, 1,968.36 and 490.20 is: 735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.12 : 1,968.36 = 490.20 : x
  2. Step 2: Convert to fraction form
    1,312.12/1,968.36 = 490.20/x
  3. Step 3: Cross multiply
    1,312.12x = 1,968.36 × 490.20
  4. Step 4: Simplify right side
    1,312.12x = 964,890.07
  5. Step 5: Solve for x
    x = 964,890.07/1,312.12
  6. Step 6: Final answer
    x = 735.37

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