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Finding the Fourth Proportional to 705.45, 972.88 and 456.51

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Solution

The fourth proportional to 705.45, 972.88 and 456.51 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.45 : 972.88 = 456.51 : x
  2. Step 2: Convert to fraction form
    705.45/972.88 = 456.51/x
  3. Step 3: Cross multiply
    705.45x = 972.88 × 456.51
  4. Step 4: Simplify right side
    705.45x = 444,127.02
  5. Step 5: Solve for x
    x = 444,127.02/705.45
  6. Step 6: Final answer
    x = 629.57

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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.