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Finding the Fourth Proportional to 996.02, 1,374.63 and 646.58

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Solution

The fourth proportional to 996.02, 1,374.63 and 646.58 is: 892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.02 : 1,374.63 = 646.58 : x
  2. Step 2: Convert to fraction form
    996.02/1,374.63 = 646.58/x
  3. Step 3: Cross multiply
    996.02x = 1,374.63 × 646.58
  4. Step 4: Simplify right side
    996.02x = 888,808.27
  5. Step 5: Solve for x
    x = 888,808.27/996.02
  6. Step 6: Final answer
    x = 892.36

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.