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Finding the Fourth Proportional to 705.00, 973.06 and 456.38

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Solution

The fourth proportional to 705.00, 973.06 and 456.38 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.00 : 973.06 = 456.38 : x
  2. Step 2: Convert to fraction form
    705.00/973.06 = 456.38/x
  3. Step 3: Cross multiply
    705.00x = 973.06 × 456.38
  4. Step 4: Simplify right side
    705.00x = 444,090.81
  5. Step 5: Solve for x
    x = 444,090.81/705.00
  6. Step 6: Final answer
    x = 629.91

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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.