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Finding the Fourth Proportional to 942.15, 1,411.20 and 735.60

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Solution

The fourth proportional to 942.15, 1,411.20 and 735.60 is: 1,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.15 : 1,411.20 = 735.60 : x
  2. Step 2: Convert to fraction form
    942.15/1,411.20 = 735.60/x
  3. Step 3: Cross multiply
    942.15x = 1,411.20 × 735.60
  4. Step 4: Simplify right side
    942.15x = 1,038,078.72
  5. Step 5: Solve for x
    x = 1,038,078.72/942.15
  6. Step 6: Final answer
    x = 1,101.82

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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.