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Finding the Fourth Proportional to 565.26, 849.71 and 485.07

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Solution

The fourth proportional to 565.26, 849.71 and 485.07 is: 729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.26 : 849.71 = 485.07 : x
  2. Step 2: Convert to fraction form
    565.26/849.71 = 485.07/x
  3. Step 3: Cross multiply
    565.26x = 849.71 × 485.07
  4. Step 4: Simplify right side
    565.26x = 412,168.83
  5. Step 5: Solve for x
    x = 412,168.83/565.26
  6. Step 6: Final answer
    x = 729.17

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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.