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Finding the Fourth Proportional to 859.34, 1,185.88 and 466.36

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Solution

The fourth proportional to 859.34, 1,185.88 and 466.36 is: 643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.34 : 1,185.88 = 466.36 : x
  2. Step 2: Convert to fraction form
    859.34/1,185.88 = 466.36/x
  3. Step 3: Cross multiply
    859.34x = 1,185.88 × 466.36
  4. Step 4: Simplify right side
    859.34x = 553,047.00
  5. Step 5: Solve for x
    x = 553,047.00/859.34
  6. Step 6: Final answer
    x = 643.57

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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.