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Finding the Fourth Proportional to 656.45, 984.65 and 310.02

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Solution

The fourth proportional to 656.45, 984.65 and 310.02 is: 465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.45 : 984.65 = 310.02 : x
  2. Step 2: Convert to fraction form
    656.45/984.65 = 310.02/x
  3. Step 3: Cross multiply
    656.45x = 984.65 × 310.02
  4. Step 4: Simplify right side
    656.45x = 305,261.19
  5. Step 5: Solve for x
    x = 305,261.19/656.45
  6. Step 6: Final answer
    x = 465.02

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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.