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Finding the Fourth Proportional to 942.30, 1,411.83 and 454.41

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Solution

The fourth proportional to 942.30, 1,411.83 and 454.41 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.30 : 1,411.83 = 454.41 : x
  2. Step 2: Convert to fraction form
    942.30/1,411.83 = 454.41/x
  3. Step 3: Cross multiply
    942.30x = 1,411.83 × 454.41
  4. Step 4: Simplify right side
    942.30x = 641,549.67
  5. Step 5: Solve for x
    x = 641,549.67/942.30
  6. Step 6: Final answer
    x = 680.83

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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.