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Finding the Fourth Proportional to 605.02, 906.62 and 559.46

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Solution

The fourth proportional to 605.02, 906.62 and 559.46 is: 838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.02 : 906.62 = 559.46 : x
  2. Step 2: Convert to fraction form
    605.02/906.62 = 559.46/x
  3. Step 3: Cross multiply
    605.02x = 906.62 × 559.46
  4. Step 4: Simplify right side
    605.02x = 507,217.63
  5. Step 5: Solve for x
    x = 507,217.63/605.02
  6. Step 6: Final answer
    x = 838.35

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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.