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Finding the Fourth Proportional to 667.14, 919.74 and 562.65

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Solution

The fourth proportional to 667.14, 919.74 and 562.65 is: 775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.14 : 919.74 = 562.65 : x
  2. Step 2: Convert to fraction form
    667.14/919.74 = 562.65/x
  3. Step 3: Cross multiply
    667.14x = 919.74 × 562.65
  4. Step 4: Simplify right side
    667.14x = 517,491.71
  5. Step 5: Solve for x
    x = 517,491.71/667.14
  6. Step 6: Final answer
    x = 775.69

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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.