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Finding the Fourth Proportional to 469.56, 647.67 and 304.02

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Solution

The fourth proportional to 469.56, 647.67 and 304.02 is: 419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.56 : 647.67 = 304.02 : x
  2. Step 2: Convert to fraction form
    469.56/647.67 = 304.02/x
  3. Step 3: Cross multiply
    469.56x = 647.67 × 304.02
  4. Step 4: Simplify right side
    469.56x = 196,904.63
  5. Step 5: Solve for x
    x = 196,904.63/469.56
  6. Step 6: Final answer
    x = 419.34

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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.