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Finding the Fourth Proportional to 948.28, 1,421.39 and 485.42

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Solution

The fourth proportional to 948.28, 1,421.39 and 485.42 is: 727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.28 : 1,421.39 = 485.42 : x
  2. Step 2: Convert to fraction form
    948.28/1,421.39 = 485.42/x
  3. Step 3: Cross multiply
    948.28x = 1,421.39 × 485.42
  4. Step 4: Simplify right side
    948.28x = 689,967.87
  5. Step 5: Solve for x
    x = 689,967.87/948.28
  6. Step 6: Final answer
    x = 727.60

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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.