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Finding the Fourth Proportional to 610.56, 844.32 and 513.60

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Solution

The fourth proportional to 610.56, 844.32 and 513.60 is: 710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 844.32 = 513.60 : x
  2. Step 2: Convert to fraction form
    610.56/844.32 = 513.60/x
  3. Step 3: Cross multiply
    610.56x = 844.32 × 513.60
  4. Step 4: Simplify right side
    610.56x = 433,642.75
  5. Step 5: Solve for x
    x = 433,642.75/610.56
  6. Step 6: Final answer
    x = 710.24

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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.