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Finding the Fourth Proportional to 925.91, 1,388.61 and 309.63

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Solution

The fourth proportional to 925.91, 1,388.61 and 309.63 is: 464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.91 : 1,388.61 = 309.63 : x
  2. Step 2: Convert to fraction form
    925.91/1,388.61 = 309.63/x
  3. Step 3: Cross multiply
    925.91x = 1,388.61 × 309.63
  4. Step 4: Simplify right side
    925.91x = 429,955.31
  5. Step 5: Solve for x
    x = 429,955.31/925.91
  6. Step 6: Final answer
    x = 464.36

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1.5x scale

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.