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Finding the Fourth Proportional to 771.98, 1,065.33 and 417.91

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Solution

The fourth proportional to 771.98, 1,065.33 and 417.91 is: 576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.98 : 1,065.33 = 417.91 : x
  2. Step 2: Convert to fraction form
    771.98/1,065.33 = 417.91/x
  3. Step 3: Cross multiply
    771.98x = 1,065.33 × 417.91
  4. Step 4: Simplify right side
    771.98x = 445,206.73
  5. Step 5: Solve for x
    x = 445,206.73/771.98
  6. Step 6: Final answer
    x = 576.71

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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.