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Finding the Fourth Proportional to 561.53, 774.74 and 340.67

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Solution

The fourth proportional to 561.53, 774.74 and 340.67 is: 470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.53 : 774.74 = 340.67 : x
  2. Step 2: Convert to fraction form
    561.53/774.74 = 340.67/x
  3. Step 3: Cross multiply
    561.53x = 774.74 × 340.67
  4. Step 4: Simplify right side
    561.53x = 263,927.65
  5. Step 5: Solve for x
    x = 263,927.65/561.53
  6. Step 6: Final answer
    x = 470.02

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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.