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Finding the Fourth Proportional to 469.75, 647.92 and 310.04

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Solution

The fourth proportional to 469.75, 647.92 and 310.04 is: 427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.75 : 647.92 = 310.04 : x
  2. Step 2: Convert to fraction form
    469.75/647.92 = 310.04/x
  3. Step 3: Cross multiply
    469.75x = 647.92 × 310.04
  4. Step 4: Simplify right side
    469.75x = 200,881.12
  5. Step 5: Solve for x
    x = 200,881.12/469.75
  6. Step 6: Final answer
    x = 427.63

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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.