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Finding the Fourth Proportional to 605.42, 909.35 and 529.18

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Solution

The fourth proportional to 605.42, 909.35 and 529.18 is: 794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.42 : 909.35 = 529.18 : x
  2. Step 2: Convert to fraction form
    605.42/909.35 = 529.18/x
  3. Step 3: Cross multiply
    605.42x = 909.35 × 529.18
  4. Step 4: Simplify right side
    605.42x = 481,208.51
  5. Step 5: Solve for x
    x = 481,208.51/605.42
  6. Step 6: Final answer
    x = 794.83

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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.