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Finding the Fourth Proportional to 611.21, 912.38 and 566.16

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Solution

The fourth proportional to 611.21, 912.38 and 566.16 is: 845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.21 : 912.38 = 566.16 : x
  2. Step 2: Convert to fraction form
    611.21/912.38 = 566.16/x
  3. Step 3: Cross multiply
    611.21x = 912.38 × 566.16
  4. Step 4: Simplify right side
    611.21x = 516,549.99
  5. Step 5: Solve for x
    x = 516,549.99/611.21
  6. Step 6: Final answer
    x = 845.12

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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.