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Finding the Fourth Proportional to 839.30, 1,158.26 and 466.25

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Solution

The fourth proportional to 839.30, 1,158.26 and 466.25 is: 643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.30 : 1,158.26 = 466.25 : x
  2. Step 2: Convert to fraction form
    839.30/1,158.26 = 466.25/x
  3. Step 3: Cross multiply
    839.30x = 1,158.26 × 466.25
  4. Step 4: Simplify right side
    839.30x = 540,030.60
  5. Step 5: Solve for x
    x = 540,030.60/839.30
  6. Step 6: Final answer
    x = 643.43

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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.