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Finding the Fourth Proportional to 854.01, 1,280.97 and 420.75

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Solution

The fourth proportional to 854.01, 1,280.97 and 420.75 is: 631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.01 : 1,280.97 = 420.75 : x
  2. Step 2: Convert to fraction form
    854.01/1,280.97 = 420.75/x
  3. Step 3: Cross multiply
    854.01x = 1,280.97 × 420.75
  4. Step 4: Simplify right side
    854.01x = 538,968.13
  5. Step 5: Solve for x
    x = 538,968.13/854.01
  6. Step 6: Final answer
    x = 631.10

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1.5x scale

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.