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Finding the Fourth Proportional to 610.58, 844.08 and 512.30

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Solution

The fourth proportional to 610.58, 844.08 and 512.30 is: 708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.58 : 844.08 = 512.30 : x
  2. Step 2: Convert to fraction form
    610.58/844.08 = 512.30/x
  3. Step 3: Cross multiply
    610.58x = 844.08 × 512.30
  4. Step 4: Simplify right side
    610.58x = 432,422.18
  5. Step 5: Solve for x
    x = 432,422.18/610.58
  6. Step 6: Final answer
    x = 708.22

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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.