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Finding the Fourth Proportional to 646.31, 968.10 and 610.37

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Solution

The fourth proportional to 646.31, 968.10 and 610.37 is: 914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.31 : 968.10 = 610.37 : x
  2. Step 2: Convert to fraction form
    646.31/968.10 = 610.37/x
  3. Step 3: Cross multiply
    646.31x = 968.10 × 610.37
  4. Step 4: Simplify right side
    646.31x = 590,899.13
  5. Step 5: Solve for x
    x = 590,899.13/646.31
  6. Step 6: Final answer
    x = 914.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.