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Finding the Fourth Proportional to 705.79, 973.60 and 506.62

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Solution

The fourth proportional to 705.79, 973.60 and 506.62 is: 698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.79 : 973.60 = 506.62 : x
  2. Step 2: Convert to fraction form
    705.79/973.60 = 506.62/x
  3. Step 3: Cross multiply
    705.79x = 973.60 × 506.62
  4. Step 4: Simplify right side
    705.79x = 493,245.23
  5. Step 5: Solve for x
    x = 493,245.23/705.79
  6. Step 6: Final answer
    x = 698.86

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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.