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Finding the Fourth Proportional to 772.51, 1,065.77 and 492.75

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Solution

The fourth proportional to 772.51, 1,065.77 and 492.75 is: 679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.51 : 1,065.77 = 492.75 : x
  2. Step 2: Convert to fraction form
    772.51/1,065.77 = 492.75/x
  3. Step 3: Cross multiply
    772.51x = 1,065.77 × 492.75
  4. Step 4: Simplify right side
    772.51x = 525,161.55
  5. Step 5: Solve for x
    x = 525,161.55/772.51
  6. Step 6: Final answer
    x = 679.81

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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.