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Finding the Fourth Proportional to 611.40, 912.61 and 566.25

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Solution

The fourth proportional to 611.40, 912.61 and 566.25 is: 845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.40 : 912.61 = 566.25 : x
  2. Step 2: Convert to fraction form
    611.40/912.61 = 566.25/x
  3. Step 3: Cross multiply
    611.40x = 912.61 × 566.25
  4. Step 4: Simplify right side
    611.40x = 516,765.41
  5. Step 5: Solve for x
    x = 516,765.41/611.40
  6. Step 6: Final answer
    x = 845.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.