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Finding the Fourth Proportional to 491.01, 677.75 and 316.05

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Solution

The fourth proportional to 491.01, 677.75 and 316.05 is: 436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.01 : 677.75 = 316.05 : x
  2. Step 2: Convert to fraction form
    491.01/677.75 = 316.05/x
  3. Step 3: Cross multiply
    491.01x = 677.75 × 316.05
  4. Step 4: Simplify right side
    491.01x = 214,201.31
  5. Step 5: Solve for x
    x = 214,201.31/491.01
  6. Step 6: Final answer
    x = 436.25

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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.