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Finding the Fourth Proportional to 656.64, 982.80 and 596.88

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Solution

The fourth proportional to 656.64, 982.80 and 596.88 is: 893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.64 : 982.80 = 596.88 : x
  2. Step 2: Convert to fraction form
    656.64/982.80 = 596.88/x
  3. Step 3: Cross multiply
    656.64x = 982.80 × 596.88
  4. Step 4: Simplify right side
    656.64x = 586,613.66
  5. Step 5: Solve for x
    x = 586,613.66/656.64
  6. Step 6: Final answer
    x = 893.36

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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.