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Finding the Fourth Proportional to 1,303.93, 1,799.70 and 861.89

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Solution

The fourth proportional to 1,303.93, 1,799.70 and 861.89 is: 1,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.93 : 1,799.70 = 861.89 : x
  2. Step 2: Convert to fraction form
    1,303.93/1,799.70 = 861.89/x
  3. Step 3: Cross multiply
    1,303.93x = 1,799.70 × 861.89
  4. Step 4: Simplify right side
    1,303.93x = 1,551,143.43
  5. Step 5: Solve for x
    x = 1,551,143.43/1,303.93
  6. Step 6: Final answer
    x = 1,189.60

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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.