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Finding the Fourth Proportional to 701.22, 1,051.20 and 546.31

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Solution

The fourth proportional to 701.22, 1,051.20 and 546.31 is: 818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.22 : 1,051.20 = 546.31 : x
  2. Step 2: Convert to fraction form
    701.22/1,051.20 = 546.31/x
  3. Step 3: Cross multiply
    701.22x = 1,051.20 × 546.31
  4. Step 4: Simplify right side
    701.22x = 574,281.07
  5. Step 5: Solve for x
    x = 574,281.07/701.22
  6. Step 6: Final answer
    x = 818.97

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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.