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Finding the Fourth Proportional to 954.92, 1,321.40 and 814.82

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Solution

The fourth proportional to 954.92, 1,321.40 and 814.82 is: 1,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.92 : 1,321.40 = 814.82 : x
  2. Step 2: Convert to fraction form
    954.92/1,321.40 = 814.82/x
  3. Step 3: Cross multiply
    954.92x = 1,321.40 × 814.82
  4. Step 4: Simplify right side
    954.92x = 1,076,703.15
  5. Step 5: Solve for x
    x = 1,076,703.15/954.92
  6. Step 6: Final answer
    x = 1,127.53

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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.