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Finding the Fourth Proportional to 772.64, 1,065.94 and 492.88

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Solution

The fourth proportional to 772.64, 1,065.94 and 492.88 is: 679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.64 : 1,065.94 = 492.88 : x
  2. Step 2: Convert to fraction form
    772.64/1,065.94 = 492.88/x
  3. Step 3: Cross multiply
    772.64x = 1,065.94 × 492.88
  4. Step 4: Simplify right side
    772.64x = 525,380.51
  5. Step 5: Solve for x
    x = 525,380.51/772.64
  6. Step 6: Final answer
    x = 679.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.