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Finding the Fourth Proportional to 892.14, 1,230.75 and 630.51

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Solution

The fourth proportional to 892.14, 1,230.75 and 630.51 is: 869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,230.75 = 630.51 : x
  2. Step 2: Convert to fraction form
    892.14/1,230.75 = 630.51/x
  3. Step 3: Cross multiply
    892.14x = 1,230.75 × 630.51
  4. Step 4: Simplify right side
    892.14x = 776,000.18
  5. Step 5: Solve for x
    x = 776,000.18/892.14
  6. Step 6: Final answer
    x = 869.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.