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Finding the Fourth Proportional to 705.11, 973.85 and 483.66

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Solution

The fourth proportional to 705.11, 973.85 and 483.66 is: 668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.11 : 973.85 = 483.66 : x
  2. Step 2: Convert to fraction form
    705.11/973.85 = 483.66/x
  3. Step 3: Cross multiply
    705.11x = 973.85 × 483.66
  4. Step 4: Simplify right side
    705.11x = 471,009.87
  5. Step 5: Solve for x
    x = 471,009.87/705.11
  6. Step 6: Final answer
    x = 668.00

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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.