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Finding the Fourth Proportional to 854.08, 1,278.85 and 462.25

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Solution

The fourth proportional to 854.08, 1,278.85 and 462.25 is: 692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.08 : 1,278.85 = 462.25 : x
  2. Step 2: Convert to fraction form
    854.08/1,278.85 = 462.25/x
  3. Step 3: Cross multiply
    854.08x = 1,278.85 × 462.25
  4. Step 4: Simplify right side
    854.08x = 591,148.41
  5. Step 5: Solve for x
    x = 591,148.41/854.08
  6. Step 6: Final answer
    x = 692.15

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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.