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Finding the Fourth Proportional to 469.28, 647.76 and 345.20

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Solution

The fourth proportional to 469.28, 647.76 and 345.20 is: 476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.28 : 647.76 = 345.20 : x
  2. Step 2: Convert to fraction form
    469.28/647.76 = 345.20/x
  3. Step 3: Cross multiply
    469.28x = 647.76 × 345.20
  4. Step 4: Simplify right side
    469.28x = 223,606.75
  5. Step 5: Solve for x
    x = 223,606.75/469.28
  6. Step 6: Final answer
    x = 476.49

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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.