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Finding the Fourth Proportional to 941.93, 1,412.82 and 421.96

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Solution

The fourth proportional to 941.93, 1,412.82 and 421.96 is: 632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.93 : 1,412.82 = 421.96 : x
  2. Step 2: Convert to fraction form
    941.93/1,412.82 = 421.96/x
  3. Step 3: Cross multiply
    941.93x = 1,412.82 × 421.96
  4. Step 4: Simplify right side
    941.93x = 596,153.53
  5. Step 5: Solve for x
    x = 596,153.53/941.93
  6. Step 6: Final answer
    x = 632.91

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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.