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Finding the Fourth Proportional to 859.32, 1,185.48 and 662.58

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Solution

The fourth proportional to 859.32, 1,185.48 and 662.58 is: 914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.32 : 1,185.48 = 662.58 : x
  2. Step 2: Convert to fraction form
    859.32/1,185.48 = 662.58/x
  3. Step 3: Cross multiply
    859.32x = 1,185.48 × 662.58
  4. Step 4: Simplify right side
    859.32x = 785,475.34
  5. Step 5: Solve for x
    x = 785,475.34/859.32
  6. Step 6: Final answer
    x = 914.07

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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.