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Finding the Fourth Proportional to 605.40, 907.05 and 476.23

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Solution

The fourth proportional to 605.40, 907.05 and 476.23 is: 713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.40 : 907.05 = 476.23 : x
  2. Step 2: Convert to fraction form
    605.40/907.05 = 476.23/x
  3. Step 3: Cross multiply
    605.40x = 907.05 × 476.23
  4. Step 4: Simplify right side
    605.40x = 431,964.42
  5. Step 5: Solve for x
    x = 431,964.42/605.40
  6. Step 6: Final answer
    x = 713.52

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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.