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Finding the Fourth Proportional to 705.63, 973.58 and 456.96

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Solution

The fourth proportional to 705.63, 973.58 and 456.96 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.63 : 973.58 = 456.96 : x
  2. Step 2: Convert to fraction form
    705.63/973.58 = 456.96/x
  3. Step 3: Cross multiply
    705.63x = 973.58 × 456.96
  4. Step 4: Simplify right side
    705.63x = 444,884.83
  5. Step 5: Solve for x
    x = 444,884.83/705.63
  6. Step 6: Final answer
    x = 630.48

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Half 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.