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Finding the Fourth Proportional to 491.08, 677.38 and 316.52

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Solution

The fourth proportional to 491.08, 677.38 and 316.52 is: 436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.08 : 677.38 = 316.52 : x
  2. Step 2: Convert to fraction form
    491.08/677.38 = 316.52/x
  3. Step 3: Cross multiply
    491.08x = 677.38 × 316.52
  4. Step 4: Simplify right side
    491.08x = 214,404.32
  5. Step 5: Solve for x
    x = 214,404.32/491.08
  6. Step 6: Final answer
    x = 436.60

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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.