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Finding the Fourth Proportional to 491.86, 677.35 and 460.58

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Solution

The fourth proportional to 491.86, 677.35 and 460.58 is: 634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.86 : 677.35 = 460.58 : x
  2. Step 2: Convert to fraction form
    491.86/677.35 = 460.58/x
  3. Step 3: Cross multiply
    491.86x = 677.35 × 460.58
  4. Step 4: Simplify right side
    491.86x = 311,969.32
  5. Step 5: Solve for x
    x = 311,969.32/491.86
  6. Step 6: Final answer
    x = 634.27

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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.