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Finding the Fourth Proportional to 469.03, 646.75 and 319.75

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Solution

The fourth proportional to 469.03, 646.75 and 319.75 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.03 : 646.75 = 319.75 : x
  2. Step 2: Convert to fraction form
    469.03/646.75 = 319.75/x
  3. Step 3: Cross multiply
    469.03x = 646.75 × 319.75
  4. Step 4: Simplify right side
    469.03x = 206,798.31
  5. Step 5: Solve for x
    x = 206,798.31/469.03
  6. Step 6: Final answer
    x = 440.91

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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.