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Finding the Fourth Proportional to 839.03, 1,157.96 and 466.07

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Solution

The fourth proportional to 839.03, 1,157.96 and 466.07 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.03 : 1,157.96 = 466.07 : x
  2. Step 2: Convert to fraction form
    839.03/1,157.96 = 466.07/x
  3. Step 3: Cross multiply
    839.03x = 1,157.96 × 466.07
  4. Step 4: Simplify right side
    839.03x = 539,682.30
  5. Step 5: Solve for x
    x = 539,682.30/839.03
  6. Step 6: Final answer
    x = 643.22

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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.