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Finding the Fourth Proportional to 637.63, 880.09 and 428.40

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Solution

The fourth proportional to 637.63, 880.09 and 428.40 is: 591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.63 : 880.09 = 428.40 : x
  2. Step 2: Convert to fraction form
    637.63/880.09 = 428.40/x
  3. Step 3: Cross multiply
    637.63x = 880.09 × 428.40
  4. Step 4: Simplify right side
    637.63x = 377,024.01
  5. Step 5: Solve for x
    x = 377,024.01/637.63
  6. Step 6: Final answer
    x = 591.29

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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.