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Finding the Fourth Proportional to 859.02, 1,185.66 and 579.84

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Solution

The fourth proportional to 859.02, 1,185.66 and 579.84 is: 800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.02 : 1,185.66 = 579.84 : x
  2. Step 2: Convert to fraction form
    859.02/1,185.66 = 579.84/x
  3. Step 3: Cross multiply
    859.02x = 1,185.66 × 579.84
  4. Step 4: Simplify right side
    859.02x = 687,493.09
  5. Step 5: Solve for x
    x = 687,493.09/859.02
  6. Step 6: Final answer
    x = 800.32

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Double scale
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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.