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Finding the Fourth Proportional to 713.64, 1,070.85 and 496.80

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Solution

The fourth proportional to 713.64, 1,070.85 and 496.80 is: 745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.64 : 1,070.85 = 496.80 : x
  2. Step 2: Convert to fraction form
    713.64/1,070.85 = 496.80/x
  3. Step 3: Cross multiply
    713.64x = 1,070.85 × 496.80
  4. Step 4: Simplify right side
    713.64x = 531,998.28
  5. Step 5: Solve for x
    x = 531,998.28/713.64
  6. Step 6: Final answer
    x = 745.47

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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.