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Finding the Fourth Proportional to 469.23, 647.73 and 387.24

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Solution

The fourth proportional to 469.23, 647.73 and 387.24 is: 534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.23 : 647.73 = 387.24 : x
  2. Step 2: Convert to fraction form
    469.23/647.73 = 387.24/x
  3. Step 3: Cross multiply
    469.23x = 647.73 × 387.24
  4. Step 4: Simplify right side
    469.23x = 250,826.97
  5. Step 5: Solve for x
    x = 250,826.97/469.23
  6. Step 6: Final answer
    x = 534.55

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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.