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Finding the Fourth Proportional to 511.63, 706.02 and 287.58

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Solution

The fourth proportional to 511.63, 706.02 and 287.58 is: 396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 706.02 = 287.58 : x
  2. Step 2: Convert to fraction form
    511.63/706.02 = 287.58/x
  3. Step 3: Cross multiply
    511.63x = 706.02 × 287.58
  4. Step 4: Simplify right side
    511.63x = 203,037.23
  5. Step 5: Solve for x
    x = 203,037.23/511.63
  6. Step 6: Final answer
    x = 396.85

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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.