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Finding the Fourth Proportional to 859.89, 1,186.77 and 693.59

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Solution

The fourth proportional to 859.89, 1,186.77 and 693.59 is: 957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.89 : 1,186.77 = 693.59 : x
  2. Step 2: Convert to fraction form
    859.89/1,186.77 = 693.59/x
  3. Step 3: Cross multiply
    859.89x = 1,186.77 × 693.59
  4. Step 4: Simplify right side
    859.89x = 823,125.87
  5. Step 5: Solve for x
    x = 823,125.87/859.89
  6. Step 6: Final answer
    x = 957.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.