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Finding the Fourth Proportional to 964.41, 1,330.32 and 899.61

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Solution

The fourth proportional to 964.41, 1,330.32 and 899.61 is: 1,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.41 : 1,330.32 = 899.61 : x
  2. Step 2: Convert to fraction form
    964.41/1,330.32 = 899.61/x
  3. Step 3: Cross multiply
    964.41x = 1,330.32 × 899.61
  4. Step 4: Simplify right side
    964.41x = 1,196,769.18
  5. Step 5: Solve for x
    x = 1,196,769.18/964.41
  6. Step 6: Final answer
    x = 1,240.93

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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.