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Finding the Fourth Proportional to 802.05, 1,202.53 and 385.35

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Solution

The fourth proportional to 802.05, 1,202.53 and 385.35 is: 577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.05 : 1,202.53 = 385.35 : x
  2. Step 2: Convert to fraction form
    802.05/1,202.53 = 385.35/x
  3. Step 3: Cross multiply
    802.05x = 1,202.53 × 385.35
  4. Step 4: Simplify right side
    802.05x = 463,394.94
  5. Step 5: Solve for x
    x = 463,394.94/802.05
  6. Step 6: Final answer
    x = 577.76

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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.