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Finding the Fourth Proportional to 837.55, 1,154.68 and 816.49

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Solution

The fourth proportional to 837.55, 1,154.68 and 816.49 is: 1,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.55 : 1,154.68 = 816.49 : x
  2. Step 2: Convert to fraction form
    837.55/1,154.68 = 816.49/x
  3. Step 3: Cross multiply
    837.55x = 1,154.68 × 816.49
  4. Step 4: Simplify right side
    837.55x = 942,784.67
  5. Step 5: Solve for x
    x = 942,784.67/837.55
  6. Step 6: Final answer
    x = 1,125.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.