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Finding the Fourth Proportional to 637.66, 956.74 and 456.49

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Solution

The fourth proportional to 637.66, 956.74 and 456.49 is: 684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.66 : 956.74 = 456.49 : x
  2. Step 2: Convert to fraction form
    637.66/956.74 = 456.49/x
  3. Step 3: Cross multiply
    637.66x = 956.74 × 456.49
  4. Step 4: Simplify right side
    637.66x = 436,742.24
  5. Step 5: Solve for x
    x = 436,742.24/637.66
  6. Step 6: Final answer
    x = 684.91

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.