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Finding the Fourth Proportional to 613.50, 841.21 and 595.27

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Solution

The fourth proportional to 613.50, 841.21 and 595.27 is: 816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 841.21 = 595.27 : x
  2. Step 2: Convert to fraction form
    613.50/841.21 = 595.27/x
  3. Step 3: Cross multiply
    613.50x = 841.21 × 595.27
  4. Step 4: Simplify right side
    613.50x = 500,747.08
  5. Step 5: Solve for x
    x = 500,747.08/613.50
  6. Step 6: Final answer
    x = 816.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.