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Finding the Fourth Proportional to 628.28, 935.62 and 591

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Solution

The fourth proportional to 628.28, 935.62 and 591 is: 880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.28 : 935.62 = 591 : x
  2. Step 2: Convert to fraction form
    628.28/935.62 = 591/x
  3. Step 3: Cross multiply
    628.28x = 935.62 × 591
  4. Step 4: Simplify right side
    628.28x = 552,951.42
  5. Step 5: Solve for x
    x = 552,951.42/628.28
  6. Step 6: Final answer
    x = 880.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.