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Finding the Fourth Proportional to 402.94, 559.90 and 401.32

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Solution

The fourth proportional to 402.94, 559.90 and 401.32 is: 557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 559.90 = 401.32 : x
  2. Step 2: Convert to fraction form
    402.94/559.90 = 401.32/x
  3. Step 3: Cross multiply
    402.94x = 559.90 × 401.32
  4. Step 4: Simplify right side
    402.94x = 224,699.07
  5. Step 5: Solve for x
    x = 224,699.07/402.94
  6. Step 6: Final answer
    x = 557.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.