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Finding the Fourth Proportional to 900.72, 1,349.31 and 802.76

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Solution

The fourth proportional to 900.72, 1,349.31 and 802.76 is: 1,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.72 : 1,349.31 = 802.76 : x
  2. Step 2: Convert to fraction form
    900.72/1,349.31 = 802.76/x
  3. Step 3: Cross multiply
    900.72x = 1,349.31 × 802.76
  4. Step 4: Simplify right side
    900.72x = 1,083,172.10
  5. Step 5: Solve for x
    x = 1,083,172.10/900.72
  6. Step 6: Final answer
    x = 1,202.56

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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.