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Finding the Fourth Proportional to 643.10, 965.73 and 610.22

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Solution

The fourth proportional to 643.10, 965.73 and 610.22 is: 916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.10 : 965.73 = 610.22 : x
  2. Step 2: Convert to fraction form
    643.10/965.73 = 610.22/x
  3. Step 3: Cross multiply
    643.10x = 965.73 × 610.22
  4. Step 4: Simplify right side
    643.10x = 589,307.76
  5. Step 5: Solve for x
    x = 589,307.76/643.10
  6. Step 6: Final answer
    x = 916.35

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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.