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Finding the Fourth Proportional to 954.27, 1,315.71 and 814.14

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Solution

The fourth proportional to 954.27, 1,315.71 and 814.14 is: 1,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.27 : 1,315.71 = 814.14 : x
  2. Step 2: Convert to fraction form
    954.27/1,315.71 = 814.14/x
  3. Step 3: Cross multiply
    954.27x = 1,315.71 × 814.14
  4. Step 4: Simplify right side
    954.27x = 1,071,172.14
  5. Step 5: Solve for x
    x = 1,071,172.14/954.27
  6. Step 6: Final answer
    x = 1,122.50

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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.