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Finding the Fourth Proportional to 839.77, 1,158.90 and 466.75

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Solution

The fourth proportional to 839.77, 1,158.90 and 466.75 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.77 : 1,158.90 = 466.75 : x
  2. Step 2: Convert to fraction form
    839.77/1,158.90 = 466.75/x
  3. Step 3: Cross multiply
    839.77x = 1,158.90 × 466.75
  4. Step 4: Simplify right side
    839.77x = 540,917.14
  5. Step 5: Solve for x
    x = 540,917.14/839.77
  6. Step 6: Final answer
    x = 644.13

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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.