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Finding the Fourth Proportional to 907.46, 1,361.57 and 615.29

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Solution

The fourth proportional to 907.46, 1,361.57 and 615.29 is: 923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.46 : 1,361.57 = 615.29 : x
  2. Step 2: Convert to fraction form
    907.46/1,361.57 = 615.29/x
  3. Step 3: Cross multiply
    907.46x = 1,361.57 × 615.29
  4. Step 4: Simplify right side
    907.46x = 837,760.41
  5. Step 5: Solve for x
    x = 837,760.41/907.46
  6. Step 6: Final answer
    x = 923.19

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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.