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Finding the Fourth Proportional to 609.24, 841.44 and 486.24

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Solution

The fourth proportional to 609.24, 841.44 and 486.24 is: 671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.24 : 841.44 = 486.24 : x
  2. Step 2: Convert to fraction form
    609.24/841.44 = 486.24/x
  3. Step 3: Cross multiply
    609.24x = 841.44 × 486.24
  4. Step 4: Simplify right side
    609.24x = 409,141.79
  5. Step 5: Solve for x
    x = 409,141.79/609.24
  6. Step 6: Final answer
    x = 671.56

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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.