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Finding the Fourth Proportional to 605.72, 907.68 and 317.36

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Solution

The fourth proportional to 605.72, 907.68 and 317.36 is: 475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.72 : 907.68 = 317.36 : x
  2. Step 2: Convert to fraction form
    605.72/907.68 = 317.36/x
  3. Step 3: Cross multiply
    605.72x = 907.68 × 317.36
  4. Step 4: Simplify right side
    605.72x = 288,061.32
  5. Step 5: Solve for x
    x = 288,061.32/605.72
  6. Step 6: Final answer
    x = 475.57

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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.