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Finding the Fourth Proportional to 954.35, 1,424.28 and 929.75

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Solution

The fourth proportional to 954.35, 1,424.28 and 929.75 is: 1,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.35 : 1,424.28 = 929.75 : x
  2. Step 2: Convert to fraction form
    954.35/1,424.28 = 929.75/x
  3. Step 3: Cross multiply
    954.35x = 1,424.28 × 929.75
  4. Step 4: Simplify right side
    954.35x = 1,324,214.88
  5. Step 5: Solve for x
    x = 1,324,214.88/954.35
  6. Step 6: Final answer
    x = 1,387.56

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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.