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Finding the Fourth Proportional to 941.56, 1,411.74 and 421.72

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Solution

The fourth proportional to 941.56, 1,411.74 and 421.72 is: 632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.56 : 1,411.74 = 421.72 : x
  2. Step 2: Convert to fraction form
    941.56/1,411.74 = 421.72/x
  3. Step 3: Cross multiply
    941.56x = 1,411.74 × 421.72
  4. Step 4: Simplify right side
    941.56x = 595,358.99
  5. Step 5: Solve for x
    x = 595,358.99/941.56
  6. Step 6: Final answer
    x = 632.31

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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.