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Finding the Fourth Proportional to 925.94, 1,389.12 and 309.64

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Solution

The fourth proportional to 925.94, 1,389.12 and 309.64 is: 464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.94 : 1,389.12 = 309.64 : x
  2. Step 2: Convert to fraction form
    925.94/1,389.12 = 309.64/x
  3. Step 3: Cross multiply
    925.94x = 1,389.12 × 309.64
  4. Step 4: Simplify right side
    925.94x = 430,127.12
  5. Step 5: Solve for x
    x = 430,127.12/925.94
  6. Step 6: Final answer
    x = 464.53

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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.