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Finding the Fourth Proportional to 647.13, 966.29 and 610.58

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Solution

The fourth proportional to 647.13, 966.29 and 610.58 is: 911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.13 : 966.29 = 610.58 : x
  2. Step 2: Convert to fraction form
    647.13/966.29 = 610.58/x
  3. Step 3: Cross multiply
    647.13x = 966.29 × 610.58
  4. Step 4: Simplify right side
    647.13x = 589,996.71
  5. Step 5: Solve for x
    x = 589,996.71/647.13
  6. Step 6: Final answer
    x = 911.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.