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Finding the Fourth Proportional to 914.58, 1,364.76 and 892.62

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Solution

The fourth proportional to 914.58, 1,364.76 and 892.62 is: 1,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.58 : 1,364.76 = 892.62 : x
  2. Step 2: Convert to fraction form
    914.58/1,364.76 = 892.62/x
  3. Step 3: Cross multiply
    914.58x = 1,364.76 × 892.62
  4. Step 4: Simplify right side
    914.58x = 1,218,212.07
  5. Step 5: Solve for x
    x = 1,218,212.07/914.58
  6. Step 6: Final answer
    x = 1,331.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.