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Finding the Fourth Proportional to 605.16, 833.22 and 534.18

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Solution

The fourth proportional to 605.16, 833.22 and 534.18 is: 735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 833.22 = 534.18 : x
  2. Step 2: Convert to fraction form
    605.16/833.22 = 534.18/x
  3. Step 3: Cross multiply
    605.16x = 833.22 × 534.18
  4. Step 4: Simplify right side
    605.16x = 445,089.46
  5. Step 5: Solve for x
    x = 445,089.46/605.16
  6. Step 6: Final answer
    x = 735.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.