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Finding the Fourth Proportional to 941.67, 1,415.24 and 455.06

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Solution

The fourth proportional to 941.67, 1,415.24 and 455.06 is: 683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.67 : 1,415.24 = 455.06 : x
  2. Step 2: Convert to fraction form
    941.67/1,415.24 = 455.06/x
  3. Step 3: Cross multiply
    941.67x = 1,415.24 × 455.06
  4. Step 4: Simplify right side
    941.67x = 644,020.38
  5. Step 5: Solve for x
    x = 644,020.38/941.67
  6. Step 6: Final answer
    x = 683.91

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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.