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Finding the Fourth Proportional to 964.22, 1,444.59 and 811.10

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Solution

The fourth proportional to 964.22, 1,444.59 and 811.10 is: 1,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,444.59 = 811.10 : x
  2. Step 2: Convert to fraction form
    964.22/1,444.59 = 811.10/x
  3. Step 3: Cross multiply
    964.22x = 1,444.59 × 811.10
  4. Step 4: Simplify right side
    964.22x = 1,171,706.95
  5. Step 5: Solve for x
    x = 1,171,706.95/964.22
  6. Step 6: Final answer
    x = 1,215.19

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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.