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Finding the Fourth Proportional to 1,199.50, 1,798.57 and 712.89

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Solution

The fourth proportional to 1,199.50, 1,798.57 and 712.89 is: 1,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.50 : 1,798.57 = 712.89 : x
  2. Step 2: Convert to fraction form
    1,199.50/1,798.57 = 712.89/x
  3. Step 3: Cross multiply
    1,199.50x = 1,798.57 × 712.89
  4. Step 4: Simplify right side
    1,199.50x = 1,282,182.57
  5. Step 5: Solve for x
    x = 1,282,182.57/1,199.50
  6. Step 6: Final answer
    x = 1,068.93

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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.