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Finding the Fourth Proportional to 705.31, 972.63 and 456.76

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Solution

The fourth proportional to 705.31, 972.63 and 456.76 is: 629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.31 : 972.63 = 456.76 : x
  2. Step 2: Convert to fraction form
    705.31/972.63 = 456.76/x
  3. Step 3: Cross multiply
    705.31x = 972.63 × 456.76
  4. Step 4: Simplify right side
    705.31x = 444,258.48
  5. Step 5: Solve for x
    x = 444,258.48/705.31
  6. Step 6: Final answer
    x = 629.88

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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.