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Finding the Fourth Proportional to 854.53, 1,281.52 and 421.63

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Solution

The fourth proportional to 854.53, 1,281.52 and 421.63 is: 632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.53 : 1,281.52 = 421.63 : x
  2. Step 2: Convert to fraction form
    854.53/1,281.52 = 421.63/x
  3. Step 3: Cross multiply
    854.53x = 1,281.52 × 421.63
  4. Step 4: Simplify right side
    854.53x = 540,327.28
  5. Step 5: Solve for x
    x = 540,327.28/854.53
  6. Step 6: Final answer
    x = 632.31

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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.