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Finding the Fourth Proportional to 925.02, 1,388.31 and 405.43

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Solution

The fourth proportional to 925.02, 1,388.31 and 405.43 is: 608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.02 : 1,388.31 = 405.43 : x
  2. Step 2: Convert to fraction form
    925.02/1,388.31 = 405.43/x
  3. Step 3: Cross multiply
    925.02x = 1,388.31 × 405.43
  4. Step 4: Simplify right side
    925.02x = 562,860.50
  5. Step 5: Solve for x
    x = 562,860.50/925.02
  6. Step 6: Final answer
    x = 608.49

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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.