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Finding the Fourth Proportional to 701.85, 1,051.62 and 354.84

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Solution

The fourth proportional to 701.85, 1,051.62 and 354.84 is: 531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.85 : 1,051.62 = 354.84 : x
  2. Step 2: Convert to fraction form
    701.85/1,051.62 = 354.84/x
  3. Step 3: Cross multiply
    701.85x = 1,051.62 × 354.84
  4. Step 4: Simplify right side
    701.85x = 373,156.84
  5. Step 5: Solve for x
    x = 373,156.84/701.85
  6. Step 6: Final answer
    x = 531.68

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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.