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Finding the Fourth Proportional to 705.12, 972.77 and 456.47

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Solution

The fourth proportional to 705.12, 972.77 and 456.47 is: 629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.12 : 972.77 = 456.47 : x
  2. Step 2: Convert to fraction form
    705.12/972.77 = 456.47/x
  3. Step 3: Cross multiply
    705.12x = 972.77 × 456.47
  4. Step 4: Simplify right side
    705.12x = 444,033.18
  5. Step 5: Solve for x
    x = 444,033.18/705.12
  6. Step 6: Final answer
    x = 629.73

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1.5x scale

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.