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Finding the Fourth Proportional to 964.37, 1,330.59 and 650.21

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Solution

The fourth proportional to 964.37, 1,330.59 and 650.21 is: 897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.37 : 1,330.59 = 650.21 : x
  2. Step 2: Convert to fraction form
    964.37/1,330.59 = 650.21/x
  3. Step 3: Cross multiply
    964.37x = 1,330.59 × 650.21
  4. Step 4: Simplify right side
    964.37x = 865,156.27
  5. Step 5: Solve for x
    x = 865,156.27/964.37
  6. Step 6: Final answer
    x = 897.13

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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.