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Finding the Fourth Proportional to 493.84, 681.98 and 410.12

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Solution

The fourth proportional to 493.84, 681.98 and 410.12 is: 566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.84 : 681.98 = 410.12 : x
  2. Step 2: Convert to fraction form
    493.84/681.98 = 410.12/x
  3. Step 3: Cross multiply
    493.84x = 681.98 × 410.12
  4. Step 4: Simplify right side
    493.84x = 279,693.64
  5. Step 5: Solve for x
    x = 279,693.64/493.84
  6. Step 6: Final answer
    x = 566.36

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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.