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Finding the Fourth Proportional to 645.52, 891.74 and 566.68

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Solution

The fourth proportional to 645.52, 891.74 and 566.68 is: 782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 891.74 = 566.68 : x
  2. Step 2: Convert to fraction form
    645.52/891.74 = 566.68/x
  3. Step 3: Cross multiply
    645.52x = 891.74 × 566.68
  4. Step 4: Simplify right side
    645.52x = 505,331.22
  5. Step 5: Solve for x
    x = 505,331.22/645.52
  6. Step 6: Final answer
    x = 782.83

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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.