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Finding the Fourth Proportional to 647.10, 966.24 and 610.02

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Solution

The fourth proportional to 647.10, 966.24 and 610.02 is: 910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.10 : 966.24 = 610.02 : x
  2. Step 2: Convert to fraction form
    647.10/966.24 = 610.02/x
  3. Step 3: Cross multiply
    647.10x = 966.24 × 610.02
  4. Step 4: Simplify right side
    647.10x = 589,425.72
  5. Step 5: Solve for x
    x = 589,425.72/647.10
  6. Step 6: Final answer
    x = 910.87

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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.