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Finding the Fourth Proportional to 705.58, 972.84 and 518.50

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Solution

The fourth proportional to 705.58, 972.84 and 518.50 is: 714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.58 : 972.84 = 518.50 : x
  2. Step 2: Convert to fraction form
    705.58/972.84 = 518.50/x
  3. Step 3: Cross multiply
    705.58x = 972.84 × 518.50
  4. Step 4: Simplify right side
    705.58x = 504,417.54
  5. Step 5: Solve for x
    x = 504,417.54/705.58
  6. Step 6: Final answer
    x = 714.90

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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.