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Finding the Fourth Proportional to 628.11, 935.80 and 597.13

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Solution

The fourth proportional to 628.11, 935.80 and 597.13 is: 889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.11 : 935.80 = 597.13 : x
  2. Step 2: Convert to fraction form
    628.11/935.80 = 597.13/x
  3. Step 3: Cross multiply
    628.11x = 935.80 × 597.13
  4. Step 4: Simplify right side
    628.11x = 558,790.42
  5. Step 5: Solve for x
    x = 558,790.42/628.11
  6. Step 6: Final answer
    x = 889.64

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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.