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Finding the Fourth Proportional to 941.01, 1,411.96 and 420.96

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Solution

The fourth proportional to 941.01, 1,411.96 and 420.96 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.01 : 1,411.96 = 420.96 : x
  2. Step 2: Convert to fraction form
    941.01/1,411.96 = 420.96/x
  3. Step 3: Cross multiply
    941.01x = 1,411.96 × 420.96
  4. Step 4: Simplify right side
    941.01x = 594,378.68
  5. Step 5: Solve for x
    x = 594,378.68/941.01
  6. Step 6: Final answer
    x = 631.64

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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.