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Finding the Fourth Proportional to 566.21, 849.18 and 511.13

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Solution

The fourth proportional to 566.21, 849.18 and 511.13 is: 766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.21 : 849.18 = 511.13 : x
  2. Step 2: Convert to fraction form
    566.21/849.18 = 511.13/x
  3. Step 3: Cross multiply
    566.21x = 849.18 × 511.13
  4. Step 4: Simplify right side
    566.21x = 434,041.37
  5. Step 5: Solve for x
    x = 434,041.37/566.21
  6. Step 6: Final answer
    x = 766.57

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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.