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Finding the Fourth Proportional to 859.21, 1,185.69 and 466.23

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Solution

The fourth proportional to 859.21, 1,185.69 and 466.23 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.21 : 1,185.69 = 466.23 : x
  2. Step 2: Convert to fraction form
    859.21/1,185.69 = 466.23/x
  3. Step 3: Cross multiply
    859.21x = 1,185.69 × 466.23
  4. Step 4: Simplify right side
    859.21x = 552,804.49
  5. Step 5: Solve for x
    x = 552,804.49/859.21
  6. Step 6: Final answer
    x = 643.39

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Half scale
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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.