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Finding the Fourth Proportional to 687.85, 948.65 and 451.53

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Solution

The fourth proportional to 687.85, 948.65 and 451.53 is: 622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.85 : 948.65 = 451.53 : x
  2. Step 2: Convert to fraction form
    687.85/948.65 = 451.53/x
  3. Step 3: Cross multiply
    687.85x = 948.65 × 451.53
  4. Step 4: Simplify right side
    687.85x = 428,341.68
  5. Step 5: Solve for x
    x = 428,341.68/687.85
  6. Step 6: Final answer
    x = 622.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.