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Finding the Fourth Proportional to 656.78, 985.18 and 310.26

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Solution

The fourth proportional to 656.78, 985.18 and 310.26 is: 465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.78 : 985.18 = 310.26 : x
  2. Step 2: Convert to fraction form
    656.78/985.18 = 310.26/x
  3. Step 3: Cross multiply
    656.78x = 985.18 × 310.26
  4. Step 4: Simplify right side
    656.78x = 305,661.95
  5. Step 5: Solve for x
    x = 305,661.95/656.78
  6. Step 6: Final answer
    x = 465.39

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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.