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Finding the Fourth Proportional to 494.66, 681.77 and 428.14

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Solution

The fourth proportional to 494.66, 681.77 and 428.14 is: 590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.66 : 681.77 = 428.14 : x
  2. Step 2: Convert to fraction form
    494.66/681.77 = 428.14/x
  3. Step 3: Cross multiply
    494.66x = 681.77 × 428.14
  4. Step 4: Simplify right side
    494.66x = 291,888.69
  5. Step 5: Solve for x
    x = 291,888.69/494.66
  6. Step 6: Final answer
    x = 590.08

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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.