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Finding the Fourth Proportional to 942.94, 1,414.36 and 454.51

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Solution

The fourth proportional to 942.94, 1,414.36 and 454.51 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.94 : 1,414.36 = 454.51 : x
  2. Step 2: Convert to fraction form
    942.94/1,414.36 = 454.51/x
  3. Step 3: Cross multiply
    942.94x = 1,414.36 × 454.51
  4. Step 4: Simplify right side
    942.94x = 642,840.76
  5. Step 5: Solve for x
    x = 642,840.76/942.94
  6. Step 6: Final answer
    x = 681.74

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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.