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Finding the Fourth Proportional to 628.11, 935.82 and 597.11

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Solution

The fourth proportional to 628.11, 935.82 and 597.11 is: 889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.11 : 935.82 = 597.11 : x
  2. Step 2: Convert to fraction form
    628.11/935.82 = 597.11/x
  3. Step 3: Cross multiply
    628.11x = 935.82 × 597.11
  4. Step 4: Simplify right side
    628.11x = 558,782.80
  5. Step 5: Solve for x
    x = 558,782.80/628.11
  6. Step 6: Final answer
    x = 889.63

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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.