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Finding the Fourth Proportional to 687.84, 953.68 and 676.48

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Solution

The fourth proportional to 687.84, 953.68 and 676.48 is: 937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 953.68 = 676.48 : x
  2. Step 2: Convert to fraction form
    687.84/953.68 = 676.48/x
  3. Step 3: Cross multiply
    687.84x = 953.68 × 676.48
  4. Step 4: Simplify right side
    687.84x = 645,145.45
  5. Step 5: Solve for x
    x = 645,145.45/687.84
  6. Step 6: Final answer
    x = 937.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.