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Finding the Fourth Proportional to 605.71, 907.70 and 345.17

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Solution

The fourth proportional to 605.71, 907.70 and 345.17 is: 517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.71 : 907.70 = 345.17 : x
  2. Step 2: Convert to fraction form
    605.71/907.70 = 345.17/x
  3. Step 3: Cross multiply
    605.71x = 907.70 × 345.17
  4. Step 4: Simplify right side
    605.71x = 313,309.08
  5. Step 5: Solve for x
    x = 313,309.08/605.71
  6. Step 6: Final answer
    x = 517.26

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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.