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Finding the Fourth Proportional to 859.92, 1,186.69 and 466.94

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Solution

The fourth proportional to 859.92, 1,186.69 and 466.94 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.92 : 1,186.69 = 466.94 : x
  2. Step 2: Convert to fraction form
    859.92/1,186.69 = 466.94/x
  3. Step 3: Cross multiply
    859.92x = 1,186.69 × 466.94
  4. Step 4: Simplify right side
    859.92x = 554,113.03
  5. Step 5: Solve for x
    x = 554,113.03/859.92
  6. Step 6: Final answer
    x = 644.38

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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.