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Finding the Fourth Proportional to 656.65, 976.83 and 650.06

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Solution

The fourth proportional to 656.65, 976.83 and 650.06 is: 967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.65 : 976.83 = 650.06 : x
  2. Step 2: Convert to fraction form
    656.65/976.83 = 650.06/x
  3. Step 3: Cross multiply
    656.65x = 976.83 × 650.06
  4. Step 4: Simplify right side
    656.65x = 634,993.23
  5. Step 5: Solve for x
    x = 634,993.23/656.65
  6. Step 6: Final answer
    x = 967.02

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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.