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Finding the Fourth Proportional to 854.14, 1,281.21 and 421.60

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Solution

The fourth proportional to 854.14, 1,281.21 and 421.60 is: 632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.14 : 1,281.21 = 421.60 : x
  2. Step 2: Convert to fraction form
    854.14/1,281.21 = 421.60/x
  3. Step 3: Cross multiply
    854.14x = 1,281.21 × 421.60
  4. Step 4: Simplify right side
    854.14x = 540,158.14
  5. Step 5: Solve for x
    x = 540,158.14/854.14
  6. Step 6: Final answer
    x = 632.40

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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.