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Finding the Fourth Proportional to 859.35, 1,294.50 and 784.63

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Solution

The fourth proportional to 859.35, 1,294.50 and 784.63 is: 1,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.35 : 1,294.50 = 784.63 : x
  2. Step 2: Convert to fraction form
    859.35/1,294.50 = 784.63/x
  3. Step 3: Cross multiply
    859.35x = 1,294.50 × 784.63
  4. Step 4: Simplify right side
    859.35x = 1,015,700.30
  5. Step 5: Solve for x
    x = 1,015,700.30/859.35
  6. Step 6: Final answer
    x = 1,181.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.