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Finding the Fourth Proportional to 645.28, 890.16 and 567.16

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Solution

The fourth proportional to 645.28, 890.16 and 567.16 is: 782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.28 : 890.16 = 567.16 : x
  2. Step 2: Convert to fraction form
    645.28/890.16 = 567.16/x
  3. Step 3: Cross multiply
    645.28x = 890.16 × 567.16
  4. Step 4: Simplify right side
    645.28x = 504,863.15
  5. Step 5: Solve for x
    x = 504,863.15/645.28
  6. Step 6: Final answer
    x = 782.39

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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.