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Finding the Fourth Proportional to 859.50, 1,290.31 and 814.14

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Solution

The fourth proportional to 859.50, 1,290.31 and 814.14 is: 1,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.50 : 1,290.31 = 814.14 : x
  2. Step 2: Convert to fraction form
    859.50/1,290.31 = 814.14/x
  3. Step 3: Cross multiply
    859.50x = 1,290.31 × 814.14
  4. Step 4: Simplify right side
    859.50x = 1,050,492.98
  5. Step 5: Solve for x
    x = 1,050,492.98/859.50
  6. Step 6: Final answer
    x = 1,222.21

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1.5x scale

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.