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Finding the Fourth Proportional to 943.40, 1,412.40 and 916.40

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Solution

The fourth proportional to 943.40, 1,412.40 and 916.40 is: 1,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.40 : 1,412.40 = 916.40 : x
  2. Step 2: Convert to fraction form
    943.40/1,412.40 = 916.40/x
  3. Step 3: Cross multiply
    943.40x = 1,412.40 × 916.40
  4. Step 4: Simplify right side
    943.40x = 1,294,323.36
  5. Step 5: Solve for x
    x = 1,294,323.36/943.40
  6. Step 6: Final answer
    x = 1,371.98

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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.