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Finding the Fourth Proportional to 429, 640.56 and 401.46

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Solution

The fourth proportional to 429, 640.56 and 401.46 is: 599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 640.56 = 401.46 : x
  2. Step 2: Convert to fraction form
    429/640.56 = 401.46/x
  3. Step 3: Cross multiply
    429x = 640.56 × 401.46
  4. Step 4: Simplify right side
    429x = 257,159.22
  5. Step 5: Solve for x
    x = 257,159.22/429
  6. Step 6: Final answer
    x = 599.44

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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.