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Finding the Fourth Proportional to 661.84, 913.08 and 428.96

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Solution

The fourth proportional to 661.84, 913.08 and 428.96 is: 591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.84 : 913.08 = 428.96 : x
  2. Step 2: Convert to fraction form
    661.84/913.08 = 428.96/x
  3. Step 3: Cross multiply
    661.84x = 913.08 × 428.96
  4. Step 4: Simplify right side
    661.84x = 391,674.80
  5. Step 5: Solve for x
    x = 391,674.80/661.84
  6. Step 6: Final answer
    x = 591.80

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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.