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Finding the Fourth Proportional to 641.90, 962.69 and 436.40

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Solution

The fourth proportional to 641.90, 962.69 and 436.40 is: 654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.90 : 962.69 = 436.40 : x
  2. Step 2: Convert to fraction form
    641.90/962.69 = 436.40/x
  3. Step 3: Cross multiply
    641.90x = 962.69 × 436.40
  4. Step 4: Simplify right side
    641.90x = 420,110.92
  5. Step 5: Solve for x
    x = 420,110.92/641.90
  6. Step 6: Final answer
    x = 654.49

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