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Finding the Fourth Proportional to 839.37, 1,158.38 and 466.40

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Solution

The fourth proportional to 839.37, 1,158.38 and 466.40 is: 643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.37 : 1,158.38 = 466.40 : x
  2. Step 2: Convert to fraction form
    839.37/1,158.38 = 466.40/x
  3. Step 3: Cross multiply
    839.37x = 1,158.38 × 466.40
  4. Step 4: Simplify right side
    839.37x = 540,260.31
  5. Step 5: Solve for x
    x = 540,260.31/839.37
  6. Step 6: Final answer
    x = 643.65

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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.