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Finding the Fourth Proportional to 645.77, 972.19 and 441.65

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Solution

The fourth proportional to 645.77, 972.19 and 441.65 is: 664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.77 : 972.19 = 441.65 : x
  2. Step 2: Convert to fraction form
    645.77/972.19 = 441.65/x
  3. Step 3: Cross multiply
    645.77x = 972.19 × 441.65
  4. Step 4: Simplify right side
    645.77x = 429,367.71
  5. Step 5: Solve for x
    x = 429,367.71/645.77
  6. Step 6: Final answer
    x = 664.89

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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 (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.