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Finding the Fourth Proportional to 948.27, 1,421.25 and 428.14

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Solution

The fourth proportional to 948.27, 1,421.25 and 428.14 is: 641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.27 : 1,421.25 = 428.14 : x
  2. Step 2: Convert to fraction form
    948.27/1,421.25 = 428.14/x
  3. Step 3: Cross multiply
    948.27x = 1,421.25 × 428.14
  4. Step 4: Simplify right side
    948.27x = 608,486.15
  5. Step 5: Solve for x
    x = 608,486.15/948.27
  6. Step 6: Final answer
    x = 641.68

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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.