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Finding the Fourth Proportional to 941.74, 1,405.87 and 818.76

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Solution

The fourth proportional to 941.74, 1,405.87 and 818.76 is: 1,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.74 : 1,405.87 = 818.76 : x
  2. Step 2: Convert to fraction form
    941.74/1,405.87 = 818.76/x
  3. Step 3: Cross multiply
    941.74x = 1,405.87 × 818.76
  4. Step 4: Simplify right side
    941.74x = 1,151,070.12
  5. Step 5: Solve for x
    x = 1,151,070.12/941.74
  6. Step 6: Final answer
    x = 1,222.28

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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.