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Finding the Fourth Proportional to 948.69, 1,421.91 and 538.11

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Solution

The fourth proportional to 948.69, 1,421.91 and 538.11 is: 806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.69 : 1,421.91 = 538.11 : x
  2. Step 2: Convert to fraction form
    948.69/1,421.91 = 538.11/x
  3. Step 3: Cross multiply
    948.69x = 1,421.91 × 538.11
  4. Step 4: Simplify right side
    948.69x = 765,143.99
  5. Step 5: Solve for x
    x = 765,143.99/948.69
  6. Step 6: Final answer
    x = 806.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.