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Finding the Fourth Proportional to 456.50, 679.91 and 433.37

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Solution

The fourth proportional to 456.50, 679.91 and 433.37 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.50 : 679.91 = 433.37 : x
  2. Step 2: Convert to fraction form
    456.50/679.91 = 433.37/x
  3. Step 3: Cross multiply
    456.50x = 679.91 × 433.37
  4. Step 4: Simplify right side
    456.50x = 294,652.60
  5. Step 5: Solve for x
    x = 294,652.60/456.50
  6. Step 6: Final answer
    x = 645.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.