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Finding the Fourth Proportional to 772.41, 1,065.78 and 477.75

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Solution

The fourth proportional to 772.41, 1,065.78 and 477.75 is: 659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.41 : 1,065.78 = 477.75 : x
  2. Step 2: Convert to fraction form
    772.41/1,065.78 = 477.75/x
  3. Step 3: Cross multiply
    772.41x = 1,065.78 × 477.75
  4. Step 4: Simplify right side
    772.41x = 509,176.40
  5. Step 5: Solve for x
    x = 509,176.40/772.41
  6. Step 6: Final answer
    x = 659.20

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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.