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Finding the Fourth Proportional to 687.55, 948.82 and 377.05

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Solution

The fourth proportional to 687.55, 948.82 and 377.05 is: 520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.55 : 948.82 = 377.05 : x
  2. Step 2: Convert to fraction form
    687.55/948.82 = 377.05/x
  3. Step 3: Cross multiply
    687.55x = 948.82 × 377.05
  4. Step 4: Simplify right side
    687.55x = 357,752.58
  5. Step 5: Solve for x
    x = 357,752.58/687.55
  6. Step 6: Final answer
    x = 520.33

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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.