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Finding the Fourth Proportional to 942.59, 1,412.89 and 454.61

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Solution

The fourth proportional to 942.59, 1,412.89 and 454.61 is: 681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.59 : 1,412.89 = 454.61 : x
  2. Step 2: Convert to fraction form
    942.59/1,412.89 = 454.61/x
  3. Step 3: Cross multiply
    942.59x = 1,412.89 × 454.61
  4. Step 4: Simplify right side
    942.59x = 642,313.92
  5. Step 5: Solve for x
    x = 642,313.92/942.59
  6. Step 6: Final answer
    x = 681.44

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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.