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Finding the Fourth Proportional to 647.66, 966.11 and 585.38

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Solution

The fourth proportional to 647.66, 966.11 and 585.38 is: 873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.66 : 966.11 = 585.38 : x
  2. Step 2: Convert to fraction form
    647.66/966.11 = 585.38/x
  3. Step 3: Cross multiply
    647.66x = 966.11 × 585.38
  4. Step 4: Simplify right side
    647.66x = 565,540.96
  5. Step 5: Solve for x
    x = 565,540.96/647.66
  6. Step 6: Final answer
    x = 873.20

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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.