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Finding the Fourth Proportional to 538.86, 741.81 and 483.58

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Solution

The fourth proportional to 538.86, 741.81 and 483.58 is: 665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 741.81 = 483.58 : x
  2. Step 2: Convert to fraction form
    538.86/741.81 = 483.58/x
  3. Step 3: Cross multiply
    538.86x = 741.81 × 483.58
  4. Step 4: Simplify right side
    538.86x = 358,724.50
  5. Step 5: Solve for x
    x = 358,724.50/538.86
  6. Step 6: Final answer
    x = 665.71

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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.