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Finding the Fourth Proportional to 953.21, 1,427.76 and 643.68

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Solution

The fourth proportional to 953.21, 1,427.76 and 643.68 is: 964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.21 : 1,427.76 = 643.68 : x
  2. Step 2: Convert to fraction form
    953.21/1,427.76 = 643.68/x
  3. Step 3: Cross multiply
    953.21x = 1,427.76 × 643.68
  4. Step 4: Simplify right side
    953.21x = 919,020.56
  5. Step 5: Solve for x
    x = 919,020.56/953.21
  6. Step 6: Final answer
    x = 964.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.