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Finding the Fourth Proportional to 772.02, 1,065.50 and 492.38

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Solution

The fourth proportional to 772.02, 1,065.50 and 492.38 is: 679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,065.50 = 492.38 : x
  2. Step 2: Convert to fraction form
    772.02/1,065.50 = 492.38/x
  3. Step 3: Cross multiply
    772.02x = 1,065.50 × 492.38
  4. Step 4: Simplify right side
    772.02x = 524,626.79
  5. Step 5: Solve for x
    x = 524,626.79/772.02
  6. Step 6: Final answer
    x = 679.55

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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.