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Finding the Fourth Proportional to 605.64, 907.54 and 450.83

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Solution

The fourth proportional to 605.64, 907.54 and 450.83 is: 675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.64 : 907.54 = 450.83 : x
  2. Step 2: Convert to fraction form
    605.64/907.54 = 450.83/x
  3. Step 3: Cross multiply
    605.64x = 907.54 × 450.83
  4. Step 4: Simplify right side
    605.64x = 409,143.13
  5. Step 5: Solve for x
    x = 409,143.13/605.64
  6. Step 6: Final answer
    x = 675.56

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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.