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Finding the Fourth Proportional to 839.14, 1,158.20 and 466.25

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Solution

The fourth proportional to 839.14, 1,158.20 and 466.25 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.14 : 1,158.20 = 466.25 : x
  2. Step 2: Convert to fraction form
    839.14/1,158.20 = 466.25/x
  3. Step 3: Cross multiply
    839.14x = 1,158.20 × 466.25
  4. Step 4: Simplify right side
    839.14x = 540,002.63
  5. Step 5: Solve for x
    x = 540,002.63/839.14
  6. Step 6: Final answer
    x = 643.52

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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.