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Finding the Fourth Proportional to 837.02, 1,254.64 and 446.78

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Solution

The fourth proportional to 837.02, 1,254.64 and 446.78 is: 669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.02 : 1,254.64 = 446.78 : x
  2. Step 2: Convert to fraction form
    837.02/1,254.64 = 446.78/x
  3. Step 3: Cross multiply
    837.02x = 1,254.64 × 446.78
  4. Step 4: Simplify right side
    837.02x = 560,543.81
  5. Step 5: Solve for x
    x = 560,543.81/837.02
  6. Step 6: Final answer
    x = 669.69

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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.