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Finding the Fourth Proportional to 1,264.36, 1,895.25 and 802.48

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Solution

The fourth proportional to 1,264.36, 1,895.25 and 802.48 is: 1,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.36 : 1,895.25 = 802.48 : x
  2. Step 2: Convert to fraction form
    1,264.36/1,895.25 = 802.48/x
  3. Step 3: Cross multiply
    1,264.36x = 1,895.25 × 802.48
  4. Step 4: Simplify right side
    1,264.36x = 1,520,900.22
  5. Step 5: Solve for x
    x = 1,520,900.22/1,264.36
  6. Step 6: Final answer
    x = 1,202.90

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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.