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Finding the Fourth Proportional to 705.38, 972.79 and 456.45

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Solution

The fourth proportional to 705.38, 972.79 and 456.45 is: 629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 972.79 = 456.45 : x
  2. Step 2: Convert to fraction form
    705.38/972.79 = 456.45/x
  3. Step 3: Cross multiply
    705.38x = 972.79 × 456.45
  4. Step 4: Simplify right side
    705.38x = 444,025.21
  5. Step 5: Solve for x
    x = 444,025.21/705.38
  6. Step 6: Final answer
    x = 629.49

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Half scale
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Double scale
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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.