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Finding the Fourth Proportional to 656.58, 985.14 and 309.66

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Solution

The fourth proportional to 656.58, 985.14 and 309.66 is: 464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.58 : 985.14 = 309.66 : x
  2. Step 2: Convert to fraction form
    656.58/985.14 = 309.66/x
  3. Step 3: Cross multiply
    656.58x = 985.14 × 309.66
  4. Step 4: Simplify right side
    656.58x = 305,058.45
  5. Step 5: Solve for x
    x = 305,058.45/656.58
  6. Step 6: Final answer
    x = 464.62

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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.