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Finding the Fourth Proportional to 493.90, 681.48 and 389.02

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Solution

The fourth proportional to 493.90, 681.48 and 389.02 is: 536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.90 : 681.48 = 389.02 : x
  2. Step 2: Convert to fraction form
    493.90/681.48 = 389.02/x
  3. Step 3: Cross multiply
    493.90x = 681.48 × 389.02
  4. Step 4: Simplify right side
    493.90x = 265,109.35
  5. Step 5: Solve for x
    x = 265,109.35/493.90
  6. Step 6: Final answer
    x = 536.77

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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.