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Finding the Fourth Proportional to 469.31, 706.19 and 387.63

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Solution

The fourth proportional to 469.31, 706.19 and 387.63 is: 583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.31 : 706.19 = 387.63 : x
  2. Step 2: Convert to fraction form
    469.31/706.19 = 387.63/x
  3. Step 3: Cross multiply
    469.31x = 706.19 × 387.63
  4. Step 4: Simplify right side
    469.31x = 273,738.49
  5. Step 5: Solve for x
    x = 273,738.49/469.31
  6. Step 6: Final answer
    x = 583.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.