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Finding the Fourth Proportional to 772.72, 1,065.64 and 492.48

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Solution

The fourth proportional to 772.72, 1,065.64 and 492.48 is: 679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.72 : 1,065.64 = 492.48 : x
  2. Step 2: Convert to fraction form
    772.72/1,065.64 = 492.48/x
  3. Step 3: Cross multiply
    772.72x = 1,065.64 × 492.48
  4. Step 4: Simplify right side
    772.72x = 524,806.39
  5. Step 5: Solve for x
    x = 524,806.39/772.72
  6. Step 6: Final answer
    x = 679.17

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Why These Related Problems?

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