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Finding the Fourth Proportional to 812.35, 1,119.88 and 546.31

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Solution

The fourth proportional to 812.35, 1,119.88 and 546.31 is: 753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.35 : 1,119.88 = 546.31 : x
  2. Step 2: Convert to fraction form
    812.35/1,119.88 = 546.31/x
  3. Step 3: Cross multiply
    812.35x = 1,119.88 × 546.31
  4. Step 4: Simplify right side
    812.35x = 611,801.64
  5. Step 5: Solve for x
    x = 611,801.64/812.35
  6. Step 6: Final answer
    x = 753.13

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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.