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Finding the Fourth Proportional to 651.86, 982.63 and 609.54

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Solution

The fourth proportional to 651.86, 982.63 and 609.54 is: 918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.86 : 982.63 = 609.54 : x
  2. Step 2: Convert to fraction form
    651.86/982.63 = 609.54/x
  3. Step 3: Cross multiply
    651.86x = 982.63 × 609.54
  4. Step 4: Simplify right side
    651.86x = 598,952.29
  5. Step 5: Solve for x
    x = 598,952.29/651.86
  6. Step 6: Final answer
    x = 918.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.