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Finding the Fourth Proportional to 802.76, 1,205.45 and 496.56

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Solution

The fourth proportional to 802.76, 1,205.45 and 496.56 is: 745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.76 : 1,205.45 = 496.56 : x
  2. Step 2: Convert to fraction form
    802.76/1,205.45 = 496.56/x
  3. Step 3: Cross multiply
    802.76x = 1,205.45 × 496.56
  4. Step 4: Simplify right side
    802.76x = 598,582.15
  5. Step 5: Solve for x
    x = 598,582.15/802.76
  6. Step 6: Final answer
    x = 745.65

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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.