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Finding the Fourth Proportional to 772.41, 1,065.93 and 423.10

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Solution

The fourth proportional to 772.41, 1,065.93 and 423.10 is: 583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.41 : 1,065.93 = 423.10 : x
  2. Step 2: Convert to fraction form
    772.41/1,065.93 = 423.10/x
  3. Step 3: Cross multiply
    772.41x = 1,065.93 × 423.10
  4. Step 4: Simplify right side
    772.41x = 450,987.54
  5. Step 5: Solve for x
    x = 450,987.54/772.41
  6. Step 6: Final answer
    x = 583.87

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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.