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Finding the Fourth Proportional to 941.16, 1,405.32 and 830.54

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Solution

The fourth proportional to 941.16, 1,405.32 and 830.54 is: 1,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.16 : 1,405.32 = 830.54 : x
  2. Step 2: Convert to fraction form
    941.16/1,405.32 = 830.54/x
  3. Step 3: Cross multiply
    941.16x = 1,405.32 × 830.54
  4. Step 4: Simplify right side
    941.16x = 1,167,174.47
  5. Step 5: Solve for x
    x = 1,167,174.47/941.16
  6. Step 6: Final answer
    x = 1,240.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.