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Finding the Fourth Proportional to 943.70, 1,417.14 and 615.19

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Solution

The fourth proportional to 943.70, 1,417.14 and 615.19 is: 923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.70 : 1,417.14 = 615.19 : x
  2. Step 2: Convert to fraction form
    943.70/1,417.14 = 615.19/x
  3. Step 3: Cross multiply
    943.70x = 1,417.14 × 615.19
  4. Step 4: Simplify right side
    943.70x = 871,813.90
  5. Step 5: Solve for x
    x = 871,813.90/943.70
  6. Step 6: Final answer
    x = 923.83

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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.