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Finding the Fourth Proportional to 486.24, 670.68 and 289.74

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Solution

The fourth proportional to 486.24, 670.68 and 289.74 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.24 : 670.68 = 289.74 : x
  2. Step 2: Convert to fraction form
    486.24/670.68 = 289.74/x
  3. Step 3: Cross multiply
    486.24x = 670.68 × 289.74
  4. Step 4: Simplify right side
    486.24x = 194,322.82
  5. Step 5: Solve for x
    x = 194,322.82/486.24
  6. Step 6: Final answer
    x = 399.64

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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.