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Finding the Fourth Proportional to 996.40, 1,494.40 and 476.40

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Solution

The fourth proportional to 996.40, 1,494.40 and 476.40 is: 714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.40 : 1,494.40 = 476.40 : x
  2. Step 2: Convert to fraction form
    996.40/1,494.40 = 476.40/x
  3. Step 3: Cross multiply
    996.40x = 1,494.40 × 476.40
  4. Step 4: Simplify right side
    996.40x = 711,932.16
  5. Step 5: Solve for x
    x = 711,932.16/996.40
  6. Step 6: Final answer
    x = 714.50

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Double scale
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1.5x scale

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.