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Finding the Fourth Proportional to 811.52, 1,212.91 and 725.93

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Solution

The fourth proportional to 811.52, 1,212.91 and 725.93 is: 1,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.52 : 1,212.91 = 725.93 : x
  2. Step 2: Convert to fraction form
    811.52/1,212.91 = 725.93/x
  3. Step 3: Cross multiply
    811.52x = 1,212.91 × 725.93
  4. Step 4: Simplify right side
    811.52x = 880,484.13
  5. Step 5: Solve for x
    x = 880,484.13/811.52
  6. Step 6: Final answer
    x = 1,084.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.