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Finding the Fourth Proportional to 675.45, 932.34 and 509.37

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Solution

The fourth proportional to 675.45, 932.34 and 509.37 is: 703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.45 : 932.34 = 509.37 : x
  2. Step 2: Convert to fraction form
    675.45/932.34 = 509.37/x
  3. Step 3: Cross multiply
    675.45x = 932.34 × 509.37
  4. Step 4: Simplify right side
    675.45x = 474,904.44
  5. Step 5: Solve for x
    x = 474,904.44/675.45
  6. Step 6: Final answer
    x = 703.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.