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Finding the Fourth Proportional to 778.65, 1,161.93 and 709.67

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Solution

The fourth proportional to 778.65, 1,161.93 and 709.67 is: 1,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.65 : 1,161.93 = 709.67 : x
  2. Step 2: Convert to fraction form
    778.65/1,161.93 = 709.67/x
  3. Step 3: Cross multiply
    778.65x = 1,161.93 × 709.67
  4. Step 4: Simplify right side
    778.65x = 824,581.05
  5. Step 5: Solve for x
    x = 824,581.05/778.65
  6. Step 6: Final answer
    x = 1,058.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.