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Finding the Fourth Proportional to 859.33, 1,185.88 and 466.35

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Solution

The fourth proportional to 859.33, 1,185.88 and 466.35 is: 643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.33 : 1,185.88 = 466.35 : x
  2. Step 2: Convert to fraction form
    859.33/1,185.88 = 466.35/x
  3. Step 3: Cross multiply
    859.33x = 1,185.88 × 466.35
  4. Step 4: Simplify right side
    859.33x = 553,032.81
  5. Step 5: Solve for x
    x = 553,032.81/859.33
  6. Step 6: Final answer
    x = 643.56

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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.