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Finding the Fourth Proportional to 940.02, 1,407.60 and 916.80

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Solution

The fourth proportional to 940.02, 1,407.60 and 916.80 is: 1,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.02 : 1,407.60 = 916.80 : x
  2. Step 2: Convert to fraction form
    940.02/1,407.60 = 916.80/x
  3. Step 3: Cross multiply
    940.02x = 1,407.60 × 916.80
  4. Step 4: Simplify right side
    940.02x = 1,290,487.68
  5. Step 5: Solve for x
    x = 1,290,487.68/940.02
  6. Step 6: Final answer
    x = 1,372.83

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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.