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Finding the Fourth Proportional to 491.59, 677.42 and 460.00

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Solution

The fourth proportional to 491.59, 677.42 and 460.00 is: 633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.59 : 677.42 = 460.00 : x
  2. Step 2: Convert to fraction form
    491.59/677.42 = 460.00/x
  3. Step 3: Cross multiply
    491.59x = 677.42 × 460.00
  4. Step 4: Simplify right side
    491.59x = 311,609.21
  5. Step 5: Solve for x
    x = 311,609.21/491.59
  6. Step 6: Final answer
    x = 633.88

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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.