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Finding the Fourth Proportional to 893.16, 1,231.47 and 543.78

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Solution

The fourth proportional to 893.16, 1,231.47 and 543.78 is: 749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.16 : 1,231.47 = 543.78 : x
  2. Step 2: Convert to fraction form
    893.16/1,231.47 = 543.78/x
  3. Step 3: Cross multiply
    893.16x = 1,231.47 × 543.78
  4. Step 4: Simplify right side
    893.16x = 669,648.76
  5. Step 5: Solve for x
    x = 669,648.76/893.16
  6. Step 6: Final answer
    x = 749.75

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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.