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Finding the Fourth Proportional to 427.95, 637.65 and 400.59

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Solution

The fourth proportional to 427.95, 637.65 and 400.59 is: 596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.95 : 637.65 = 400.59 : x
  2. Step 2: Convert to fraction form
    427.95/637.65 = 400.59/x
  3. Step 3: Cross multiply
    427.95x = 637.65 × 400.59
  4. Step 4: Simplify right side
    427.95x = 255,436.21
  5. Step 5: Solve for x
    x = 255,436.21/427.95
  6. Step 6: Final answer
    x = 596.88

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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.