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Finding the Fourth Proportional to 615.02, 920.37 and 429.02

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Solution

The fourth proportional to 615.02, 920.37 and 429.02 is: 642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.02 : 920.37 = 429.02 : x
  2. Step 2: Convert to fraction form
    615.02/920.37 = 429.02/x
  3. Step 3: Cross multiply
    615.02x = 920.37 × 429.02
  4. Step 4: Simplify right side
    615.02x = 394,857.14
  5. Step 5: Solve for x
    x = 394,857.14/615.02
  6. Step 6: Final answer
    x = 642.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.