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Finding the Fourth Proportional to 840.76, 1,254.78 and 818.89

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Solution

The fourth proportional to 840.76, 1,254.78 and 818.89 is: 1,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.76 : 1,254.78 = 818.89 : x
  2. Step 2: Convert to fraction form
    840.76/1,254.78 = 818.89/x
  3. Step 3: Cross multiply
    840.76x = 1,254.78 × 818.89
  4. Step 4: Simplify right side
    840.76x = 1,027,516.43
  5. Step 5: Solve for x
    x = 1,027,516.43/840.76
  6. Step 6: Final answer
    x = 1,222.14

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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.