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Finding the Fourth Proportional to 859.05, 1,185.48 and 466.08

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Solution

The fourth proportional to 859.05, 1,185.48 and 466.08 is: 643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.05 : 1,185.48 = 466.08 : x
  2. Step 2: Convert to fraction form
    859.05/1,185.48 = 466.08/x
  3. Step 3: Cross multiply
    859.05x = 1,185.48 × 466.08
  4. Step 4: Simplify right side
    859.05x = 552,528.52
  5. Step 5: Solve for x
    x = 552,528.52/859.05
  6. Step 6: Final answer
    x = 643.19

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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.