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Finding the Fourth Proportional to 566.58, 850.54 and 540.38

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Solution

The fourth proportional to 566.58, 850.54 and 540.38 is: 811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.58 : 850.54 = 540.38 : x
  2. Step 2: Convert to fraction form
    566.58/850.54 = 540.38/x
  3. Step 3: Cross multiply
    566.58x = 850.54 × 540.38
  4. Step 4: Simplify right side
    566.58x = 459,614.81
  5. Step 5: Solve for x
    x = 459,614.81/566.58
  6. Step 6: Final answer
    x = 811.21

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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.