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Finding the Fourth Proportional to 811.54, 1,215.91 and 657.53

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Solution

The fourth proportional to 811.54, 1,215.91 and 657.53 is: 985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.54 : 1,215.91 = 657.53 : x
  2. Step 2: Convert to fraction form
    811.54/1,215.91 = 657.53/x
  3. Step 3: Cross multiply
    811.54x = 1,215.91 × 657.53
  4. Step 4: Simplify right side
    811.54x = 799,497.30
  5. Step 5: Solve for x
    x = 799,497.30/811.54
  6. Step 6: Final answer
    x = 985.16

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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.