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Finding the Fourth Proportional to 613.02, 914.99 and 564.21

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Solution

The fourth proportional to 613.02, 914.99 and 564.21 is: 842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.02 : 914.99 = 564.21 : x
  2. Step 2: Convert to fraction form
    613.02/914.99 = 564.21/x
  3. Step 3: Cross multiply
    613.02x = 914.99 × 564.21
  4. Step 4: Simplify right side
    613.02x = 516,243.69
  5. Step 5: Solve for x
    x = 516,243.69/613.02
  6. Step 6: Final answer
    x = 842.13

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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.