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Finding the Fourth Proportional to 941.07, 1,417.15 and 820.79

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Solution

The fourth proportional to 941.07, 1,417.15 and 820.79 is: 1,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.07 : 1,417.15 = 820.79 : x
  2. Step 2: Convert to fraction form
    941.07/1,417.15 = 820.79/x
  3. Step 3: Cross multiply
    941.07x = 1,417.15 × 820.79
  4. Step 4: Simplify right side
    941.07x = 1,163,182.55
  5. Step 5: Solve for x
    x = 1,163,182.55/941.07
  6. Step 6: Final answer
    x = 1,236.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.