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Finding the Fourth Proportional to 810.12, 1,213.74 and 701.40

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Solution

The fourth proportional to 810.12, 1,213.74 and 701.40 is: 1,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.12 : 1,213.74 = 701.40 : x
  2. Step 2: Convert to fraction form
    810.12/1,213.74 = 701.40/x
  3. Step 3: Cross multiply
    810.12x = 1,213.74 × 701.40
  4. Step 4: Simplify right side
    810.12x = 851,317.24
  5. Step 5: Solve for x
    x = 851,317.24/810.12
  6. Step 6: Final answer
    x = 1,050.85

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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.