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Finding the Fourth Proportional to 1,230.85, 1,698.87 and 837.84

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Solution

The fourth proportional to 1,230.85, 1,698.87 and 837.84 is: 1,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.85 : 1,698.87 = 837.84 : x
  2. Step 2: Convert to fraction form
    1,230.85/1,698.87 = 837.84/x
  3. Step 3: Cross multiply
    1,230.85x = 1,698.87 × 837.84
  4. Step 4: Simplify right side
    1,230.85x = 1,423,390.75
  5. Step 5: Solve for x
    x = 1,423,390.75/1,230.85
  6. Step 6: Final answer
    x = 1,156.43

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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.