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Finding the Fourth Proportional to 941.19, 1,412.01 and 291.91

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Solution

The fourth proportional to 941.19, 1,412.01 and 291.91 is: 437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.19 : 1,412.01 = 291.91 : x
  2. Step 2: Convert to fraction form
    941.19/1,412.01 = 291.91/x
  3. Step 3: Cross multiply
    941.19x = 1,412.01 × 291.91
  4. Step 4: Simplify right side
    941.19x = 412,179.84
  5. Step 5: Solve for x
    x = 412,179.84/941.19
  6. Step 6: Final answer
    x = 437.93

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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.