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Finding the Fourth Proportional to 705.81, 973.62 and 566.09

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Solution

The fourth proportional to 705.81, 973.62 and 566.09 is: 780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.81 : 973.62 = 566.09 : x
  2. Step 2: Convert to fraction form
    705.81/973.62 = 566.09/x
  3. Step 3: Cross multiply
    705.81x = 973.62 × 566.09
  4. Step 4: Simplify right side
    705.81x = 551,155.33
  5. Step 5: Solve for x
    x = 551,155.33/705.81
  6. Step 6: Final answer
    x = 780.88

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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.