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Finding the Fourth Proportional to 705.81, 973.99 and 391.06

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Solution

The fourth proportional to 705.81, 973.99 and 391.06 is: 539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.81 : 973.99 = 391.06 : x
  2. Step 2: Convert to fraction form
    705.81/973.99 = 391.06/x
  3. Step 3: Cross multiply
    705.81x = 973.99 × 391.06
  4. Step 4: Simplify right side
    705.81x = 380,888.53
  5. Step 5: Solve for x
    x = 380,888.53/705.81
  6. Step 6: Final answer
    x = 539.65

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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.