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Finding the Fourth Proportional to 907.29, 1,361.79 and 474.75

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Solution

The fourth proportional to 907.29, 1,361.79 and 474.75 is: 712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.29 : 1,361.79 = 474.75 : x
  2. Step 2: Convert to fraction form
    907.29/1,361.79 = 474.75/x
  3. Step 3: Cross multiply
    907.29x = 1,361.79 × 474.75
  4. Step 4: Simplify right side
    907.29x = 646,509.80
  5. Step 5: Solve for x
    x = 646,509.80/907.29
  6. Step 6: Final answer
    x = 712.57

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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.