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Finding the Fourth Proportional to 948.63, 1,421.15 and 538.07

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Solution

The fourth proportional to 948.63, 1,421.15 and 538.07 is: 806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.63 : 1,421.15 = 538.07 : x
  2. Step 2: Convert to fraction form
    948.63/1,421.15 = 538.07/x
  3. Step 3: Cross multiply
    948.63x = 1,421.15 × 538.07
  4. Step 4: Simplify right side
    948.63x = 764,668.38
  5. Step 5: Solve for x
    x = 764,668.38/948.63
  6. Step 6: Final answer
    x = 806.08

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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.