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Finding the Fourth Proportional to 859.49, 1,186.16 and 486.50

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Solution

The fourth proportional to 859.49, 1,186.16 and 486.50 is: 671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.49 : 1,186.16 = 486.50 : x
  2. Step 2: Convert to fraction form
    859.49/1,186.16 = 486.50/x
  3. Step 3: Cross multiply
    859.49x = 1,186.16 × 486.50
  4. Step 4: Simplify right side
    859.49x = 577,067.37
  5. Step 5: Solve for x
    x = 577,067.37/859.49
  6. Step 6: Final answer
    x = 671.41

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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.