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Finding the Fourth Proportional to 656.39, 984.93 and 609.92

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Solution

The fourth proportional to 656.39, 984.93 and 609.92 is: 915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.39 : 984.93 = 609.92 : x
  2. Step 2: Convert to fraction form
    656.39/984.93 = 609.92/x
  3. Step 3: Cross multiply
    656.39x = 984.93 × 609.92
  4. Step 4: Simplify right side
    656.39x = 600,724.99
  5. Step 5: Solve for x
    x = 600,724.99/656.39
  6. Step 6: Final answer
    x = 915.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.