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Finding the Fourth Proportional to 705.13, 972.75 and 456.53

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Solution

The fourth proportional to 705.13, 972.75 and 456.53 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.13 : 972.75 = 456.53 : x
  2. Step 2: Convert to fraction form
    705.13/972.75 = 456.53/x
  3. Step 3: Cross multiply
    705.13x = 972.75 × 456.53
  4. Step 4: Simplify right side
    705.13x = 444,085.93
  5. Step 5: Solve for x
    x = 444,085.93/705.13
  6. Step 6: Final answer
    x = 629.80

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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.