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Finding the Fourth Proportional to 937, 1,405.54 and 663.40

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Solution

The fourth proportional to 937, 1,405.54 and 663.40 is: 995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    937 : 1,405.54 = 663.40 : x
  2. Step 2: Convert to fraction form
    937/1,405.54 = 663.40/x
  3. Step 3: Cross multiply
    937x = 1,405.54 × 663.40
  4. Step 4: Simplify right side
    937x = 932,435.24
  5. Step 5: Solve for x
    x = 932,435.24/937
  6. Step 6: Final answer
    x = 995.13

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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.