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Finding the Fourth Proportional to 707.74, 977.00 and 456.03

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Solution

The fourth proportional to 707.74, 977.00 and 456.03 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.74 : 977.00 = 456.03 : x
  2. Step 2: Convert to fraction form
    707.74/977.00 = 456.03/x
  3. Step 3: Cross multiply
    707.74x = 977.00 × 456.03
  4. Step 4: Simplify right side
    707.74x = 445,539.03
  5. Step 5: Solve for x
    x = 445,539.03/707.74
  6. Step 6: Final answer
    x = 629.53

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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.