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Finding the Fourth Proportional to 610.77, 919.70 and 449.58

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Solution

The fourth proportional to 610.77, 919.70 and 449.58 is: 676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.77 : 919.70 = 449.58 : x
  2. Step 2: Convert to fraction form
    610.77/919.70 = 449.58/x
  3. Step 3: Cross multiply
    610.77x = 919.70 × 449.58
  4. Step 4: Simplify right side
    610.77x = 413,476.48
  5. Step 5: Solve for x
    x = 413,476.48/610.77
  6. Step 6: Final answer
    x = 676.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.