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Finding the Fourth Proportional to 491.13, 677.66 and 316.45

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Solution

The fourth proportional to 491.13, 677.66 and 316.45 is: 436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.13 : 677.66 = 316.45 : x
  2. Step 2: Convert to fraction form
    491.13/677.66 = 316.45/x
  3. Step 3: Cross multiply
    491.13x = 677.66 × 316.45
  4. Step 4: Simplify right side
    491.13x = 214,445.51
  5. Step 5: Solve for x
    x = 214,445.51/491.13
  6. Step 6: Final answer
    x = 436.64

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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.